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Finding the Third Proportional to 1,308,535 and 2,665,184

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Solution

The third proportional to 1,308,535 and 2,665,184 is: 5,428,365.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308,535 : 2,665,184 = 2,665,184 : x
  2. Step 2: Convert to fraction form
    1,308,535/2,665,184 = 2,665,184/x
  3. Step 3: Cross multiply
    1,308,535x = 2,665,184 × 2,665,184
  4. Step 4: Simplify right side
    1,308,535x = 7,103,205,753,856
  5. Step 5: Solve for x
    x = 7,103,205,753,856/1,308,535
  6. Step 6: Final answer
    x = 5,428,365.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.