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Finding the Third Proportional to 457,894 and 1,007,140

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Solution

The third proportional to 457,894 and 1,007,140 is: 2,215,209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,894 : 1,007,140 = 1,007,140 : x
  2. Step 2: Convert to fraction form
    457,894/1,007,140 = 1,007,140/x
  3. Step 3: Cross multiply
    457,894x = 1,007,140 × 1,007,140
  4. Step 4: Simplify right side
    457,894x = 1,014,330,979,600
  5. Step 5: Solve for x
    x = 1,014,330,979,600/457,894
  6. Step 6: Final answer
    x = 2,215,209.15

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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.