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Finding the Third Proportional to 1,022,960 and 1,572,816

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Solution

The third proportional to 1,022,960 and 1,572,816 is: 2,418,227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,960 : 1,572,816 = 1,572,816 : x
  2. Step 2: Convert to fraction form
    1,022,960/1,572,816 = 1,572,816/x
  3. Step 3: Cross multiply
    1,022,960x = 1,572,816 × 1,572,816
  4. Step 4: Simplify right side
    1,022,960x = 2,473,750,169,856
  5. Step 5: Solve for x
    x = 2,473,750,169,856/1,022,960
  6. Step 6: Final answer
    x = 2,418,227.66

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.