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Finding the Third Proportional to 424,123 and 924,454

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Solution

The third proportional to 424,123 and 924,454 is: 2,015,017.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,123 : 924,454 = 924,454 : x
  2. Step 2: Convert to fraction form
    424,123/924,454 = 924,454/x
  3. Step 3: Cross multiply
    424,123x = 924,454 × 924,454
  4. Step 4: Simplify right side
    424,123x = 854,615,198,116
  5. Step 5: Solve for x
    x = 854,615,198,116/424,123
  6. Step 6: Final answer
    x = 2,015,017.34

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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.