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Finding the Third Proportional to 666,758 and 1,573,288

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Solution

The third proportional to 666,758 and 1,573,288 is: 3,712,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,758 : 1,573,288 = 1,573,288 : x
  2. Step 2: Convert to fraction form
    666,758/1,573,288 = 1,573,288/x
  3. Step 3: Cross multiply
    666,758x = 1,573,288 × 1,573,288
  4. Step 4: Simplify right side
    666,758x = 2,475,235,130,944
  5. Step 5: Solve for x
    x = 2,475,235,130,944/666,758
  6. Step 6: Final answer
    x = 3,712,344.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.