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Finding the Third Proportional to 527,779,586 and 715,980,841

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Solution

The third proportional to 527,779,586 and 715,980,841 is: 971,292,900.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,779,586 : 715,980,841 = 715,980,841 : x
  2. Step 2: Convert to fraction form
    527,779,586/715,980,841 = 715,980,841/x
  3. Step 3: Cross multiply
    527,779,586x = 715,980,841 × 715,980,841
  4. Step 4: Simplify right side
    527,779,586x = 512,628,564,679,067,264
  5. Step 5: Solve for x
    x = 512,628,564,679,067,264/527,779,586
  6. Step 6: Final answer
    x = 971,292,900.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.