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Finding the Third Proportional to 668,409 and 1,391,897

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Solution

The third proportional to 668,409 and 1,391,897 is: 2,898,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,409 : 1,391,897 = 1,391,897 : x
  2. Step 2: Convert to fraction form
    668,409/1,391,897 = 1,391,897/x
  3. Step 3: Cross multiply
    668,409x = 1,391,897 × 1,391,897
  4. Step 4: Simplify right side
    668,409x = 1,937,377,258,609
  5. Step 5: Solve for x
    x = 1,937,377,258,609/668,409
  6. Step 6: Final answer
    x = 2,898,490.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.