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Finding the Third Proportional to 804,205 and 1,225,175

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Solution

The third proportional to 804,205 and 1,225,175 is: 1,866,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,205 : 1,225,175 = 1,225,175 : x
  2. Step 2: Convert to fraction form
    804,205/1,225,175 = 1,225,175/x
  3. Step 3: Cross multiply
    804,205x = 1,225,175 × 1,225,175
  4. Step 4: Simplify right side
    804,205x = 1,501,053,780,625
  5. Step 5: Solve for x
    x = 1,501,053,780,625/804,205
  6. Step 6: Final answer
    x = 1,866,506.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.