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Finding the Third Proportional to 589,105 and 921,565.50

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Solution

The third proportional to 589,105 and 921,565.50 is: 1,441,649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,105 : 921,565.50 = 921,565.50 : x
  2. Step 2: Convert to fraction form
    589,105/921,565.50 = 921,565.50/x
  3. Step 3: Cross multiply
    589,105x = 921,565.50 × 921,565.50
  4. Step 4: Simplify right side
    589,105x = 849,282,970,790.25
  5. Step 5: Solve for x
    x = 849,282,970,790.25/589,105
  6. Step 6: Final answer
    x = 1,441,649.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.