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Finding the Third Proportional to 653,144,310 and 1,011,307,680

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Solution

The third proportional to 653,144,310 and 1,011,307,680 is: 1,565,876,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,144,310 : 1,011,307,680 = 1,011,307,680 : x
  2. Step 2: Convert to fraction form
    653,144,310/1,011,307,680 = 1,011,307,680/x
  3. Step 3: Cross multiply
    653,144,310x = 1,011,307,680 × 1,011,307,680
  4. Step 4: Simplify right side
    653,144,310x = 1,022,743,223,626,982,400
  5. Step 5: Solve for x
    x = 1,022,743,223,626,982,400/653,144,310
  6. Step 6: Final answer
    x = 1,565,876,343.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.