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Finding the Third Proportional to 951,040 and 1,477,344

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Solution

The third proportional to 951,040 and 1,477,344 is: 2,294,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,040 : 1,477,344 = 1,477,344 : x
  2. Step 2: Convert to fraction form
    951,040/1,477,344 = 1,477,344/x
  3. Step 3: Cross multiply
    951,040x = 1,477,344 × 1,477,344
  4. Step 4: Simplify right side
    951,040x = 2,182,545,294,336
  5. Step 5: Solve for x
    x = 2,182,545,294,336/951,040
  6. Step 6: Final answer
    x = 2,294,903.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.