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Finding the Third Proportional to 807,853 and 1,750,340

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Solution

The third proportional to 807,853 and 1,750,340 is: 3,792,385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,853 : 1,750,340 = 1,750,340 : x
  2. Step 2: Convert to fraction form
    807,853/1,750,340 = 1,750,340/x
  3. Step 3: Cross multiply
    807,853x = 1,750,340 × 1,750,340
  4. Step 4: Simplify right side
    807,853x = 3,063,690,115,600
  5. Step 5: Solve for x
    x = 3,063,690,115,600/807,853
  6. Step 6: Final answer
    x = 3,792,385.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.