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Finding the Third Proportional to 424,544 and 924,038

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Solution

The third proportional to 424,544 and 924,038 is: 2,011,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,544 : 924,038 = 924,038 : x
  2. Step 2: Convert to fraction form
    424,544/924,038 = 924,038/x
  3. Step 3: Cross multiply
    424,544x = 924,038 × 924,038
  4. Step 4: Simplify right side
    424,544x = 853,846,225,444
  5. Step 5: Solve for x
    x = 853,846,225,444/424,544
  6. Step 6: Final answer
    x = 2,011,207.85

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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.