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Finding the Third Proportional to 314,259,822 and 740,797,646

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Solution

The third proportional to 314,259,822 and 740,797,646 is: 1,746,265,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,259,822 : 740,797,646 = 740,797,646 : x
  2. Step 2: Convert to fraction form
    314,259,822/740,797,646 = 740,797,646/x
  3. Step 3: Cross multiply
    314,259,822x = 740,797,646 × 740,797,646
  4. Step 4: Simplify right side
    314,259,822x = 548,781,152,319,141,312
  5. Step 5: Solve for x
    x = 548,781,152,319,141,312/314,259,822
  6. Step 6: Final answer
    x = 1,746,265,713.60

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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.