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Finding the Third Proportional to 902,499 and 1,353,948

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Solution

The third proportional to 902,499 and 1,353,948 is: 2,031,221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,499 : 1,353,948 = 1,353,948 : x
  2. Step 2: Convert to fraction form
    902,499/1,353,948 = 1,353,948/x
  3. Step 3: Cross multiply
    902,499x = 1,353,948 × 1,353,948
  4. Step 4: Simplify right side
    902,499x = 1,833,175,186,704
  5. Step 5: Solve for x
    x = 1,833,175,186,704/902,499
  6. Step 6: Final answer
    x = 2,031,221.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.