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Finding the Third Proportional to 424,879 and 924,686

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Solution

The third proportional to 424,879 and 924,686 is: 2,012,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,879 : 924,686 = 924,686 : x
  2. Step 2: Convert to fraction form
    424,879/924,686 = 924,686/x
  3. Step 3: Cross multiply
    424,879x = 924,686 × 924,686
  4. Step 4: Simplify right side
    424,879x = 855,044,198,596
  5. Step 5: Solve for x
    x = 855,044,198,596/424,879
  6. Step 6: Final answer
    x = 2,012,441.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.