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Finding the Third Proportional to 897,216.75 and 1,329,832.69

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Solution

The third proportional to 897,216.75 and 1,329,832.69 is: 1,971,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,216.75 : 1,329,832.69 = 1,329,832.69 : x
  2. Step 2: Convert to fraction form
    897,216.75/1,329,832.69 = 1,329,832.69/x
  3. Step 3: Cross multiply
    897,216.75x = 1,329,832.69 × 1,329,832.69
  4. Step 4: Simplify right side
    897,216.75x = 1,768,454,976,743.47
  5. Step 5: Solve for x
    x = 1,768,454,976,743.47/897,216.75
  6. Step 6: Final answer
    x = 1,971,045.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.