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Finding the Third Proportional to 467,548 and 1,006,596

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Solution

The third proportional to 467,548 and 1,006,596 is: 2,167,126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,548 : 1,006,596 = 1,006,596 : x
  2. Step 2: Convert to fraction form
    467,548/1,006,596 = 1,006,596/x
  3. Step 3: Cross multiply
    467,548x = 1,006,596 × 1,006,596
  4. Step 4: Simplify right side
    467,548x = 1,013,235,507,216
  5. Step 5: Solve for x
    x = 1,013,235,507,216/467,548
  6. Step 6: Final answer
    x = 2,167,126.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.