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Finding the Third Proportional to 424,539 and 924,030

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Solution

The third proportional to 424,539 and 924,030 is: 2,011,196.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,539 : 924,030 = 924,030 : x
  2. Step 2: Convert to fraction form
    424,539/924,030 = 924,030/x
  3. Step 3: Cross multiply
    424,539x = 924,030 × 924,030
  4. Step 4: Simplify right side
    424,539x = 853,831,440,900
  5. Step 5: Solve for x
    x = 853,831,440,900/424,539
  6. Step 6: Final answer
    x = 2,011,196.71

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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.