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Finding the Third Proportional to 457,389 and 1,003,108

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Solution

The third proportional to 457,389 and 1,003,108 is: 2,199,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,389 : 1,003,108 = 1,003,108 : x
  2. Step 2: Convert to fraction form
    457,389/1,003,108 = 1,003,108/x
  3. Step 3: Cross multiply
    457,389x = 1,003,108 × 1,003,108
  4. Step 4: Simplify right side
    457,389x = 1,006,225,659,664
  5. Step 5: Solve for x
    x = 1,006,225,659,664/457,389
  6. Step 6: Final answer
    x = 2,199,934.10

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.