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Finding the Third Proportional to 1,027,080 and 1,502,580

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Solution

The third proportional to 1,027,080 and 1,502,580 is: 2,198,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,080 : 1,502,580 = 1,502,580 : x
  2. Step 2: Convert to fraction form
    1,027,080/1,502,580 = 1,502,580/x
  3. Step 3: Cross multiply
    1,027,080x = 1,502,580 × 1,502,580
  4. Step 4: Simplify right side
    1,027,080x = 2,257,746,656,400
  5. Step 5: Solve for x
    x = 2,257,746,656,400/1,027,080
  6. Step 6: Final answer
    x = 2,198,218.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.