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Finding the Third Proportional to 665,209 and 1,459,186

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Solution

The third proportional to 665,209 and 1,459,186 is: 3,200,834.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,209 : 1,459,186 = 1,459,186 : x
  2. Step 2: Convert to fraction form
    665,209/1,459,186 = 1,459,186/x
  3. Step 3: Cross multiply
    665,209x = 1,459,186 × 1,459,186
  4. Step 4: Simplify right side
    665,209x = 2,129,223,782,596
  5. Step 5: Solve for x
    x = 2,129,223,782,596/665,209
  6. Step 6: Final answer
    x = 3,200,834.30

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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.