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Finding the Third Proportional to 1,019,574,717.75 and 1,574,401,825.50

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Solution

The third proportional to 1,019,574,717.75 and 1,574,401,825.50 is: 2,431,151,994.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,574,717.75 : 1,574,401,825.50 = 1,574,401,825.50 : x
  2. Step 2: Convert to fraction form
    1,019,574,717.75/1,574,401,825.50 = 1,574,401,825.50/x
  3. Step 3: Cross multiply
    1,019,574,717.75x = 1,574,401,825.50 × 1,574,401,825.50
  4. Step 4: Simplify right side
    1,019,574,717.75x = 2,478,741,108,137,732,608
  5. Step 5: Solve for x
    x = 2,478,741,108,137,732,608/1,019,574,717.75
  6. Step 6: Final answer
    x = 2,431,151,994.05

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.