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Finding the Third Proportional to 487,998 and 1,006,128

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Solution

The third proportional to 487,998 and 1,006,128 is: 2,074,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,998 : 1,006,128 = 1,006,128 : x
  2. Step 2: Convert to fraction form
    487,998/1,006,128 = 1,006,128/x
  3. Step 3: Cross multiply
    487,998x = 1,006,128 × 1,006,128
  4. Step 4: Simplify right side
    487,998x = 1,012,293,552,384
  5. Step 5: Solve for x
    x = 1,012,293,552,384/487,998
  6. Step 6: Final answer
    x = 2,074,380.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.