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Finding the Third Proportional to 710,919.28 and 1,090,135.97

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Solution

The third proportional to 710,919.28 and 1,090,135.97 is: 1,671,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,919.28 : 1,090,135.97 = 1,090,135.97 : x
  2. Step 2: Convert to fraction form
    710,919.28/1,090,135.97 = 1,090,135.97/x
  3. Step 3: Cross multiply
    710,919.28x = 1,090,135.97 × 1,090,135.97
  4. Step 4: Simplify right side
    710,919.28x = 1,188,396,430,362.50
  5. Step 5: Solve for x
    x = 1,188,396,430,362.50/710,919.28
  6. Step 6: Final answer
    x = 1,671,633.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.