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Finding the Third Proportional to 804,580 and 1,588,624

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Solution

The third proportional to 804,580 and 1,588,624 is: 3,136,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,580 : 1,588,624 = 1,588,624 : x
  2. Step 2: Convert to fraction form
    804,580/1,588,624 = 1,588,624/x
  3. Step 3: Cross multiply
    804,580x = 1,588,624 × 1,588,624
  4. Step 4: Simplify right side
    804,580x = 2,523,726,213,376
  5. Step 5: Solve for x
    x = 2,523,726,213,376/804,580
  6. Step 6: Final answer
    x = 3,136,700.16

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.