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Finding the Third Proportional to 701,730 and 1,085,670

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Solution

The third proportional to 701,730 and 1,085,670 is: 1,679,676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,730 : 1,085,670 = 1,085,670 : x
  2. Step 2: Convert to fraction form
    701,730/1,085,670 = 1,085,670/x
  3. Step 3: Cross multiply
    701,730x = 1,085,670 × 1,085,670
  4. Step 4: Simplify right side
    701,730x = 1,178,679,348,900
  5. Step 5: Solve for x
    x = 1,178,679,348,900/701,730
  6. Step 6: Final answer
    x = 1,679,676.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.