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Finding the Third Proportional to 666,590 and 1,466,596

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Solution

The third proportional to 666,590 and 1,466,596 is: 3,226,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,590 : 1,466,596 = 1,466,596 : x
  2. Step 2: Convert to fraction form
    666,590/1,466,596 = 1,466,596/x
  3. Step 3: Cross multiply
    666,590x = 1,466,596 × 1,466,596
  4. Step 4: Simplify right side
    666,590x = 2,150,903,827,216
  5. Step 5: Solve for x
    x = 2,150,903,827,216/666,590
  6. Step 6: Final answer
    x = 3,226,726.81

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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.