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Finding the Third Proportional to 731,280 and 1,104,696

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Solution

The third proportional to 731,280 and 1,104,696 is: 1,668,790.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,280 : 1,104,696 = 1,104,696 : x
  2. Step 2: Convert to fraction form
    731,280/1,104,696 = 1,104,696/x
  3. Step 3: Cross multiply
    731,280x = 1,104,696 × 1,104,696
  4. Step 4: Simplify right side
    731,280x = 1,220,353,252,416
  5. Step 5: Solve for x
    x = 1,220,353,252,416/731,280
  6. Step 6: Final answer
    x = 1,668,790.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.