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Finding the Third Proportional to 803,002 and 1,244,103

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Solution

The third proportional to 803,002 and 1,244,103 is: 1,927,507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,002 : 1,244,103 = 1,244,103 : x
  2. Step 2: Convert to fraction form
    803,002/1,244,103 = 1,244,103/x
  3. Step 3: Cross multiply
    803,002x = 1,244,103 × 1,244,103
  4. Step 4: Simplify right side
    803,002x = 1,547,792,274,609
  5. Step 5: Solve for x
    x = 1,547,792,274,609/803,002
  6. Step 6: Final answer
    x = 1,927,507.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.