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Finding the Third Proportional to 951,042 and 1,477,347

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Solution

The third proportional to 951,042 and 1,477,347 is: 2,294,908.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,042 : 1,477,347 = 1,477,347 : x
  2. Step 2: Convert to fraction form
    951,042/1,477,347 = 1,477,347/x
  3. Step 3: Cross multiply
    951,042x = 1,477,347 × 1,477,347
  4. Step 4: Simplify right side
    951,042x = 2,182,554,158,409
  5. Step 5: Solve for x
    x = 2,182,554,158,409/951,042
  6. Step 6: Final answer
    x = 2,294,908.28

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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.