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Finding the Third Proportional to 668,746 and 1,446,569

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Solution

The third proportional to 668,746 and 1,446,569 is: 3,129,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,746 : 1,446,569 = 1,446,569 : x
  2. Step 2: Convert to fraction form
    668,746/1,446,569 = 1,446,569/x
  3. Step 3: Cross multiply
    668,746x = 1,446,569 × 1,446,569
  4. Step 4: Simplify right side
    668,746x = 2,092,561,871,761
  5. Step 5: Solve for x
    x = 2,092,561,871,761/668,746
  6. Step 6: Final answer
    x = 3,129,083.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.