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Finding the Third Proportional to 1,019,574,876 and 1,574,402,068

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Solution

The third proportional to 1,019,574,876 and 1,574,402,068 is: 2,431,152,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,574,876 : 1,574,402,068 = 1,574,402,068 : x
  2. Step 2: Convert to fraction form
    1,019,574,876/1,574,402,068 = 1,574,402,068/x
  3. Step 3: Cross multiply
    1,019,574,876x = 1,574,402,068 × 1,574,402,068
  4. Step 4: Simplify right side
    1,019,574,876x = 2,478,741,871,722,676,736
  5. Step 5: Solve for x
    x = 2,478,741,871,722,676,736/1,019,574,876
  6. Step 6: Final answer
    x = 2,431,152,365.63

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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.