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Finding the Third Proportional to 804,384 and 1,588,464

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Solution

The third proportional to 804,384 and 1,588,464 is: 3,136,832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,384 : 1,588,464 = 1,588,464 : x
  2. Step 2: Convert to fraction form
    804,384/1,588,464 = 1,588,464/x
  3. Step 3: Cross multiply
    804,384x = 1,588,464 × 1,588,464
  4. Step 4: Simplify right side
    804,384x = 2,523,217,879,296
  5. Step 5: Solve for x
    x = 2,523,217,879,296/804,384
  6. Step 6: Final answer
    x = 3,136,832.51

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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.