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Finding the Third Proportional to 457,306 and 1,005,116

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Solution

The third proportional to 457,306 and 1,005,116 is: 2,209,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,306 : 1,005,116 = 1,005,116 : x
  2. Step 2: Convert to fraction form
    457,306/1,005,116 = 1,005,116/x
  3. Step 3: Cross multiply
    457,306x = 1,005,116 × 1,005,116
  4. Step 4: Simplify right side
    457,306x = 1,010,258,173,456
  5. Step 5: Solve for x
    x = 1,010,258,173,456/457,306
  6. Step 6: Final answer
    x = 2,209,151.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.