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Finding the Third Proportional to 457,008 and 1,002,630

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Solution

The third proportional to 457,008 and 1,002,630 is: 2,199,670.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,008 : 1,002,630 = 1,002,630 : x
  2. Step 2: Convert to fraction form
    457,008/1,002,630 = 1,002,630/x
  3. Step 3: Cross multiply
    457,008x = 1,002,630 × 1,002,630
  4. Step 4: Simplify right side
    457,008x = 1,005,266,916,900
  5. Step 5: Solve for x
    x = 1,005,266,916,900/457,008
  6. Step 6: Final answer
    x = 2,199,670.28

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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.