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Finding the Third Proportional to 612,952 and 951,504

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Solution

The third proportional to 612,952 and 951,504 is: 1,477,048.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,952 : 951,504 = 951,504 : x
  2. Step 2: Convert to fraction form
    612,952/951,504 = 951,504/x
  3. Step 3: Cross multiply
    612,952x = 951,504 × 951,504
  4. Step 4: Simplify right side
    612,952x = 905,359,862,016
  5. Step 5: Solve for x
    x = 905,359,862,016/612,952
  6. Step 6: Final answer
    x = 1,477,048.55

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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.