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Finding the Third Proportional to 424,989 and 924,748

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Solution

The third proportional to 424,989 and 924,748 is: 2,012,190.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,989 : 924,748 = 924,748 : x
  2. Step 2: Convert to fraction form
    424,989/924,748 = 924,748/x
  3. Step 3: Cross multiply
    424,989x = 924,748 × 924,748
  4. Step 4: Simplify right side
    424,989x = 855,158,863,504
  5. Step 5: Solve for x
    x = 855,158,863,504/424,989
  6. Step 6: Final answer
    x = 2,012,190.58

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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.