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Finding the Third Proportional to 736,587 and 1,149,651

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Solution

The third proportional to 736,587 and 1,149,651 is: 1,794,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,587 : 1,149,651 = 1,149,651 : x
  2. Step 2: Convert to fraction form
    736,587/1,149,651 = 1,149,651/x
  3. Step 3: Cross multiply
    736,587x = 1,149,651 × 1,149,651
  4. Step 4: Simplify right side
    736,587x = 1,321,697,421,801
  5. Step 5: Solve for x
    x = 1,321,697,421,801/736,587
  6. Step 6: Final answer
    x = 1,794,353.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.