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Finding the Third Proportional to 1,401,431.63 and 2,164,254.19

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Solution

The third proportional to 1,401,431.63 and 2,164,254.19 is: 3,342,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401,431.63 : 2,164,254.19 = 2,164,254.19 : x
  2. Step 2: Convert to fraction form
    1,401,431.63/2,164,254.19 = 2,164,254.19/x
  3. Step 3: Cross multiply
    1,401,431.63x = 2,164,254.19 × 2,164,254.19
  4. Step 4: Simplify right side
    1,401,431.63x = 4,683,996,188,111.29
  5. Step 5: Solve for x
    x = 4,683,996,188,111.29/1,401,431.63
  6. Step 6: Final answer
    x = 3,342,293.77

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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.