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Finding the Third Proportional to 665,952 and 1,453,566

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Solution

The third proportional to 665,952 and 1,453,566 is: 3,172,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,952 : 1,453,566 = 1,453,566 : x
  2. Step 2: Convert to fraction form
    665,952/1,453,566 = 1,453,566/x
  3. Step 3: Cross multiply
    665,952x = 1,453,566 × 1,453,566
  4. Step 4: Simplify right side
    665,952x = 2,112,854,116,356
  5. Step 5: Solve for x
    x = 2,112,854,116,356/665,952
  6. Step 6: Final answer
    x = 3,172,682.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.