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Finding the Third Proportional to 424,479 and 924,774

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Solution

The third proportional to 424,479 and 924,774 is: 2,014,721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,479 : 924,774 = 924,774 : x
  2. Step 2: Convert to fraction form
    424,479/924,774 = 924,774/x
  3. Step 3: Cross multiply
    424,479x = 924,774 × 924,774
  4. Step 4: Simplify right side
    424,479x = 855,206,951,076
  5. Step 5: Solve for x
    x = 855,206,951,076/424,479
  6. Step 6: Final answer
    x = 2,014,721.46

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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.