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Finding the Third Proportional to 583,634,292 and 910,785,588

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Solution

The third proportional to 583,634,292 and 910,785,588 is: 1,421,318,792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,634,292 : 910,785,588 = 910,785,588 : x
  2. Step 2: Convert to fraction form
    583,634,292/910,785,588 = 910,785,588/x
  3. Step 3: Cross multiply
    583,634,292x = 910,785,588 × 910,785,588
  4. Step 4: Simplify right side
    583,634,292x = 829,530,387,308,505,728
  5. Step 5: Solve for x
    x = 829,530,387,308,505,728/583,634,292
  6. Step 6: Final answer
    x = 1,421,318,792.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.