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Finding the Third Proportional to 402,344,604 and 615,064,914

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Solution

The third proportional to 402,344,604 and 615,064,914 is: 940,250,831.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,344,604 : 615,064,914 = 615,064,914 : x
  2. Step 2: Convert to fraction form
    402,344,604/615,064,914 = 615,064,914/x
  3. Step 3: Cross multiply
    402,344,604x = 615,064,914 × 615,064,914
  4. Step 4: Simplify right side
    402,344,604x = 378,304,848,433,827,392
  5. Step 5: Solve for x
    x = 378,304,848,433,827,392/402,344,604
  6. Step 6: Final answer
    x = 940,250,831.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.