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Finding the Third Proportional to 710,291 and 1,086,578

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Solution

The third proportional to 710,291 and 1,086,578 is: 1,662,208.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,291 : 1,086,578 = 1,086,578 : x
  2. Step 2: Convert to fraction form
    710,291/1,086,578 = 1,086,578/x
  3. Step 3: Cross multiply
    710,291x = 1,086,578 × 1,086,578
  4. Step 4: Simplify right side
    710,291x = 1,180,651,750,084
  5. Step 5: Solve for x
    x = 1,180,651,750,084/710,291
  6. Step 6: Final answer
    x = 1,662,208.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.