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Finding the Third Proportional to 742,248 and 1,654,488

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Solution

The third proportional to 742,248 and 1,654,488 is: 3,687,892.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,248 : 1,654,488 = 1,654,488 : x
  2. Step 2: Convert to fraction form
    742,248/1,654,488 = 1,654,488/x
  3. Step 3: Cross multiply
    742,248x = 1,654,488 × 1,654,488
  4. Step 4: Simplify right side
    742,248x = 2,737,330,542,144
  5. Step 5: Solve for x
    x = 2,737,330,542,144/742,248
  6. Step 6: Final answer
    x = 3,687,892.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.