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Finding the Third Proportional to 803,898 and 1,673,952

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Solution

The third proportional to 803,898 and 1,673,952 is: 3,485,660.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,898 : 1,673,952 = 1,673,952 : x
  2. Step 2: Convert to fraction form
    803,898/1,673,952 = 1,673,952/x
  3. Step 3: Cross multiply
    803,898x = 1,673,952 × 1,673,952
  4. Step 4: Simplify right side
    803,898x = 2,802,115,298,304
  5. Step 5: Solve for x
    x = 2,802,115,298,304/803,898
  6. Step 6: Final answer
    x = 3,485,660.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.