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Finding the Third Proportional to 665,562 and 1,457,076

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Solution

The third proportional to 665,562 and 1,457,076 is: 3,189,891.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,562 : 1,457,076 = 1,457,076 : x
  2. Step 2: Convert to fraction form
    665,562/1,457,076 = 1,457,076/x
  3. Step 3: Cross multiply
    665,562x = 1,457,076 × 1,457,076
  4. Step 4: Simplify right side
    665,562x = 2,123,070,469,776
  5. Step 5: Solve for x
    x = 2,123,070,469,776/665,562
  6. Step 6: Final answer
    x = 3,189,891.35

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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.