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Finding the Third Proportional to 587,684 and 931,830

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Solution

The third proportional to 587,684 and 931,830 is: 1,477,506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,684 : 931,830 = 931,830 : x
  2. Step 2: Convert to fraction form
    587,684/931,830 = 931,830/x
  3. Step 3: Cross multiply
    587,684x = 931,830 × 931,830
  4. Step 4: Simplify right side
    587,684x = 868,307,148,900
  5. Step 5: Solve for x
    x = 868,307,148,900/587,684
  6. Step 6: Final answer
    x = 1,477,506.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.