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Finding the Third Proportional to 314,259,824 and 740,797,651

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Solution

The third proportional to 314,259,824 and 740,797,651 is: 1,746,265,726.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,259,824 : 740,797,651 = 740,797,651 : x
  2. Step 2: Convert to fraction form
    314,259,824/740,797,651 = 740,797,651/x
  3. Step 3: Cross multiply
    314,259,824x = 740,797,651 × 740,797,651
  4. Step 4: Simplify right side
    314,259,824x = 548,781,159,727,117,824
  5. Step 5: Solve for x
    x = 548,781,159,727,117,824/314,259,824
  6. Step 6: Final answer
    x = 1,746,265,726.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.