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Finding the Third Proportional to 804,597 and 1,736,807

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Solution

The third proportional to 804,597 and 1,736,807 is: 3,749,080.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,597 : 1,736,807 = 1,736,807 : x
  2. Step 2: Convert to fraction form
    804,597/1,736,807 = 1,736,807/x
  3. Step 3: Cross multiply
    804,597x = 1,736,807 × 1,736,807
  4. Step 4: Simplify right side
    804,597x = 3,016,498,555,249
  5. Step 5: Solve for x
    x = 3,016,498,555,249/804,597
  6. Step 6: Final answer
    x = 3,749,080.04

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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.