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Finding the Third Proportional to 693,088 and 1,102,720

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Solution

The third proportional to 693,088 and 1,102,720 is: 1,754,454.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,088 : 1,102,720 = 1,102,720 : x
  2. Step 2: Convert to fraction form
    693,088/1,102,720 = 1,102,720/x
  3. Step 3: Cross multiply
    693,088x = 1,102,720 × 1,102,720
  4. Step 4: Simplify right side
    693,088x = 1,215,991,398,400
  5. Step 5: Solve for x
    x = 1,215,991,398,400/693,088
  6. Step 6: Final answer
    x = 1,754,454.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.