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Finding the Third Proportional to 424,847.53 and 924,400.48

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Solution

The third proportional to 424,847.53 and 924,400.48 is: 2,011,348.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,847.53 : 924,400.48 = 924,400.48 : x
  2. Step 2: Convert to fraction form
    424,847.53/924,400.48 = 924,400.48/x
  3. Step 3: Cross multiply
    424,847.53x = 924,400.48 × 924,400.48
  4. Step 4: Simplify right side
    424,847.53x = 854,516,241,068.98
  5. Step 5: Solve for x
    x = 854,516,241,068.98/424,847.53
  6. Step 6: Final answer
    x = 2,011,348.02

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