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Finding the Third Proportional to 710,381 and 1,086,717

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Solution

The third proportional to 710,381 and 1,086,717 is: 1,662,423.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,381 : 1,086,717 = 1,086,717 : x
  2. Step 2: Convert to fraction form
    710,381/1,086,717 = 1,086,717/x
  3. Step 3: Cross multiply
    710,381x = 1,086,717 × 1,086,717
  4. Step 4: Simplify right side
    710,381x = 1,180,953,838,089
  5. Step 5: Solve for x
    x = 1,180,953,838,089/710,381
  6. Step 6: Final answer
    x = 1,662,423.18

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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.