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Finding the Third Proportional to 586,782 and 877,986

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Solution

The third proportional to 586,782 and 877,986 is: 1,313,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,782 : 877,986 = 877,986 : x
  2. Step 2: Convert to fraction form
    586,782/877,986 = 877,986/x
  3. Step 3: Cross multiply
    586,782x = 877,986 × 877,986
  4. Step 4: Simplify right side
    586,782x = 770,859,416,196
  5. Step 5: Solve for x
    x = 770,859,416,196/586,782
  6. Step 6: Final answer
    x = 1,313,706.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.