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Finding the Third Proportional to 583,634,294 and 910,785,591

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Solution

The third proportional to 583,634,294 and 910,785,591 is: 1,421,318,797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,634,294 : 910,785,591 = 910,785,591 : x
  2. Step 2: Convert to fraction form
    583,634,294/910,785,591 = 910,785,591/x
  3. Step 3: Cross multiply
    583,634,294x = 910,785,591 × 910,785,591
  4. Step 4: Simplify right side
    583,634,294x = 829,530,392,773,219,328
  5. Step 5: Solve for x
    x = 829,530,392,773,219,328/583,634,294
  6. Step 6: Final answer
    x = 1,421,318,797.24

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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.