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Finding the Third Proportional to 761,644 and 1,654,400

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Solution

The third proportional to 761,644 and 1,654,400 is: 3,593,594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,644 : 1,654,400 = 1,654,400 : x
  2. Step 2: Convert to fraction form
    761,644/1,654,400 = 1,654,400/x
  3. Step 3: Cross multiply
    761,644x = 1,654,400 × 1,654,400
  4. Step 4: Simplify right side
    761,644x = 2,737,039,360,000
  5. Step 5: Solve for x
    x = 2,737,039,360,000/761,644
  6. Step 6: Final answer
    x = 3,593,594.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.