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Finding the Third Proportional to 314,194,723 and 660,949,496

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Solution

The third proportional to 314,194,723 and 660,949,496 is: 1,390,393,295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,194,723 : 660,949,496 = 660,949,496 : x
  2. Step 2: Convert to fraction form
    314,194,723/660,949,496 = 660,949,496/x
  3. Step 3: Cross multiply
    314,194,723x = 660,949,496 × 660,949,496
  4. Step 4: Simplify right side
    314,194,723x = 436,854,236,262,654,016
  5. Step 5: Solve for x
    x = 436,854,236,262,654,016/314,194,723
  6. Step 6: Final answer
    x = 1,390,393,295.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.