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Finding the Third Proportional to 424,138 and 924,484

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Solution

The third proportional to 424,138 and 924,484 is: 2,015,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,138 : 924,484 = 924,484 : x
  2. Step 2: Convert to fraction form
    424,138/924,484 = 924,484/x
  3. Step 3: Cross multiply
    424,138x = 924,484 × 924,484
  4. Step 4: Simplify right side
    424,138x = 854,670,666,256
  5. Step 5: Solve for x
    x = 854,670,666,256/424,138
  6. Step 6: Final answer
    x = 2,015,076.85

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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.