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Finding the Third Proportional to 785,283,660 and 1,217,609,334

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Solution

The third proportional to 785,283,660 and 1,217,609,334 is: 1,887,945,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,283,660 : 1,217,609,334 = 1,217,609,334 : x
  2. Step 2: Convert to fraction form
    785,283,660/1,217,609,334 = 1,217,609,334/x
  3. Step 3: Cross multiply
    785,283,660x = 1,217,609,334 × 1,217,609,334
  4. Step 4: Simplify right side
    785,283,660x = 1,482,572,490,243,923,456
  5. Step 5: Solve for x
    x = 1,482,572,490,243,923,456/785,283,660
  6. Step 6: Final answer
    x = 1,887,945,166.52

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Why These Related Problems?

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