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Finding the Third Proportional to 1,022,928 and 1,514,560

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Solution

The third proportional to 1,022,928 and 1,514,560 is: 2,242,476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,928 : 1,514,560 = 1,514,560 : x
  2. Step 2: Convert to fraction form
    1,022,928/1,514,560 = 1,514,560/x
  3. Step 3: Cross multiply
    1,022,928x = 1,514,560 × 1,514,560
  4. Step 4: Simplify right side
    1,022,928x = 2,293,891,993,600
  5. Step 5: Solve for x
    x = 2,293,891,993,600/1,022,928
  6. Step 6: Final answer
    x = 2,242,476.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.