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Finding the Third Proportional to 761,944 and 1,628,863

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Solution

The third proportional to 761,944 and 1,628,863 is: 3,482,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,944 : 1,628,863 = 1,628,863 : x
  2. Step 2: Convert to fraction form
    761,944/1,628,863 = 1,628,863/x
  3. Step 3: Cross multiply
    761,944x = 1,628,863 × 1,628,863
  4. Step 4: Simplify right side
    761,944x = 2,653,194,672,769
  5. Step 5: Solve for x
    x = 2,653,194,672,769/761,944
  6. Step 6: Final answer
    x = 3,482,138.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.