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Finding the Third Proportional to 804,581 and 1,215,073

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Solution

The third proportional to 804,581 and 1,215,073 is: 1,834,995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,581 : 1,215,073 = 1,215,073 : x
  2. Step 2: Convert to fraction form
    804,581/1,215,073 = 1,215,073/x
  3. Step 3: Cross multiply
    804,581x = 1,215,073 × 1,215,073
  4. Step 4: Simplify right side
    804,581x = 1,476,402,395,329
  5. Step 5: Solve for x
    x = 1,476,402,395,329/804,581
  6. Step 6: Final answer
    x = 1,834,995.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.