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Finding the Third Proportional to 838,437 and 1,809,714

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Solution

The third proportional to 838,437 and 1,809,714 is: 3,906,154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,437 : 1,809,714 = 1,809,714 : x
  2. Step 2: Convert to fraction form
    838,437/1,809,714 = 1,809,714/x
  3. Step 3: Cross multiply
    838,437x = 1,809,714 × 1,809,714
  4. Step 4: Simplify right side
    838,437x = 3,275,064,761,796
  5. Step 5: Solve for x
    x = 3,275,064,761,796/838,437
  6. Step 6: Final answer
    x = 3,906,154.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.