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Finding the Third Proportional to 804,565 and 1,736,743

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Solution

The third proportional to 804,565 and 1,736,743 is: 3,748,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,565 : 1,736,743 = 1,736,743 : x
  2. Step 2: Convert to fraction form
    804,565/1,736,743 = 1,736,743/x
  3. Step 3: Cross multiply
    804,565x = 1,736,743 × 1,736,743
  4. Step 4: Simplify right side
    804,565x = 3,016,276,248,049
  5. Step 5: Solve for x
    x = 3,016,276,248,049/804,565
  6. Step 6: Final answer
    x = 3,748,952.85

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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.