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Finding the Third Proportional to 585,299,700 and 797,214,015

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Solution

The third proportional to 585,299,700 and 797,214,015 is: 1,085,854,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,299,700 : 797,214,015 = 797,214,015 : x
  2. Step 2: Convert to fraction form
    585,299,700/797,214,015 = 797,214,015/x
  3. Step 3: Cross multiply
    585,299,700x = 797,214,015 × 797,214,015
  4. Step 4: Simplify right side
    585,299,700x = 635,550,185,712,420,224
  5. Step 5: Solve for x
    x = 635,550,185,712,420,224/585,299,700
  6. Step 6: Final answer
    x = 1,085,854,282.37

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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.