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Finding the Third Proportional to 612,948 and 951,498

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Solution

The third proportional to 612,948 and 951,498 is: 1,477,039.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,948 : 951,498 = 951,498 : x
  2. Step 2: Convert to fraction form
    612,948/951,498 = 951,498/x
  3. Step 3: Cross multiply
    612,948x = 951,498 × 951,498
  4. Step 4: Simplify right side
    612,948x = 905,348,444,004
  5. Step 5: Solve for x
    x = 905,348,444,004/612,948
  6. Step 6: Final answer
    x = 1,477,039.56

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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.