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Finding the Third Proportional to 424,140 and 924,488

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Solution

The third proportional to 424,140 and 924,488 is: 2,015,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,140 : 924,488 = 924,488 : x
  2. Step 2: Convert to fraction form
    424,140/924,488 = 924,488/x
  3. Step 3: Cross multiply
    424,140x = 924,488 × 924,488
  4. Step 4: Simplify right side
    424,140x = 854,678,062,144
  5. Step 5: Solve for x
    x = 854,678,062,144/424,140
  6. Step 6: Final answer
    x = 2,015,084.79

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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.