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Finding the Third Proportional to 422,700,697.13 and 679,489,160.06

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Solution

The third proportional to 422,700,697.13 and 679,489,160.06 is: 1,092,275,271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,700,697.13 : 679,489,160.06 = 679,489,160.06 : x
  2. Step 2: Convert to fraction form
    422,700,697.13/679,489,160.06 = 679,489,160.06/x
  3. Step 3: Cross multiply
    422,700,697.13x = 679,489,160.06 × 679,489,160.06
  4. Step 4: Simplify right side
    422,700,697.13x = 461,705,518,642,441,728
  5. Step 5: Solve for x
    x = 461,705,518,642,441,728/422,700,697.13
  6. Step 6: Final answer
    x = 1,092,275,271.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.