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Finding the Third Proportional to 723,244,698 and 1,569,783,870

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Solution

The third proportional to 723,244,698 and 1,569,783,870 is: 3,407,175,199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,244,698 : 1,569,783,870 = 1,569,783,870 : x
  2. Step 2: Convert to fraction form
    723,244,698/1,569,783,870 = 1,569,783,870/x
  3. Step 3: Cross multiply
    723,244,698x = 1,569,783,870 × 1,569,783,870
  4. Step 4: Simplify right side
    723,244,698x = 2,464,221,398,512,177,152
  5. Step 5: Solve for x
    x = 2,464,221,398,512,177,152/723,244,698
  6. Step 6: Final answer
    x = 3,407,175,199.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.