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Finding the Third Proportional to 1,644,897.38 and 3,668,000.52

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Solution

The third proportional to 1,644,897.38 and 3,668,000.52 is: 8,179,372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,897.38 : 3,668,000.52 = 3,668,000.52 : x
  2. Step 2: Convert to fraction form
    1,644,897.38/3,668,000.52 = 3,668,000.52/x
  3. Step 3: Cross multiply
    1,644,897.38x = 3,668,000.52 × 3,668,000.52
  4. Step 4: Simplify right side
    1,644,897.38x = 13,454,227,811,281.15
  5. Step 5: Solve for x
    x = 13,454,227,811,281.15/1,644,897.38
  6. Step 6: Final answer
    x = 8,179,372.17

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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.