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Finding the Third Proportional to 457,901 and 1,003,282

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Solution

The third proportional to 457,901 and 1,003,282 is: 2,198,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,901 : 1,003,282 = 1,003,282 : x
  2. Step 2: Convert to fraction form
    457,901/1,003,282 = 1,003,282/x
  3. Step 3: Cross multiply
    457,901x = 1,003,282 × 1,003,282
  4. Step 4: Simplify right side
    457,901x = 1,006,574,771,524
  5. Step 5: Solve for x
    x = 1,006,574,771,524/457,901
  6. Step 6: Final answer
    x = 2,198,236.67

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Why These Related Problems?

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