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Finding the Third Proportional to 559,779,694 and 1,214,710,656

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Solution

The third proportional to 559,779,694 and 1,214,710,656 is: 2,635,897,646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,779,694 : 1,214,710,656 = 1,214,710,656 : x
  2. Step 2: Convert to fraction form
    559,779,694/1,214,710,656 = 1,214,710,656/x
  3. Step 3: Cross multiply
    559,779,694x = 1,214,710,656 × 1,214,710,656
  4. Step 4: Simplify right side
    559,779,694x = 1,475,521,977,799,950,336
  5. Step 5: Solve for x
    x = 1,475,521,977,799,950,336/559,779,694
  6. Step 6: Final answer
    x = 2,635,897,646.19

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Why These Related Problems?

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