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Finding the Third Proportional to 1,330,264 and 2,057,416

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Solution

The third proportional to 1,330,264 and 2,057,416 is: 3,182,045.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330,264 : 2,057,416 = 2,057,416 : x
  2. Step 2: Convert to fraction form
    1,330,264/2,057,416 = 2,057,416/x
  3. Step 3: Cross multiply
    1,330,264x = 2,057,416 × 2,057,416
  4. Step 4: Simplify right side
    1,330,264x = 4,232,960,597,056
  5. Step 5: Solve for x
    x = 4,232,960,597,056/1,330,264
  6. Step 6: Final answer
    x = 3,182,045.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.