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Finding the Third Proportional to 838,290 and 1,329,580

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Solution

The third proportional to 838,290 and 1,329,580 is: 2,108,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,290 : 1,329,580 = 1,329,580 : x
  2. Step 2: Convert to fraction form
    838,290/1,329,580 = 1,329,580/x
  3. Step 3: Cross multiply
    838,290x = 1,329,580 × 1,329,580
  4. Step 4: Simplify right side
    838,290x = 1,767,782,976,400
  5. Step 5: Solve for x
    x = 1,767,782,976,400/838,290
  6. Step 6: Final answer
    x = 2,108,796.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.