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Finding the Third Proportional to 710,292 and 1,086,579

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Solution

The third proportional to 710,292 and 1,086,579 is: 1,662,209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,292 : 1,086,579 = 1,086,579 : x
  2. Step 2: Convert to fraction form
    710,292/1,086,579 = 1,086,579/x
  3. Step 3: Cross multiply
    710,292x = 1,086,579 × 1,086,579
  4. Step 4: Simplify right side
    710,292x = 1,180,653,923,241
  5. Step 5: Solve for x
    x = 1,180,653,923,241/710,292
  6. Step 6: Final answer
    x = 1,662,209.24

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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.