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Finding the Third Proportional to 1,010,658.94 and 1,486,432.69

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Solution

The third proportional to 1,010,658.94 and 1,486,432.69 is: 2,186,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,658.94 : 1,486,432.69 = 1,486,432.69 : x
  2. Step 2: Convert to fraction form
    1,010,658.94/1,486,432.69 = 1,486,432.69/x
  3. Step 3: Cross multiply
    1,010,658.94x = 1,486,432.69 × 1,486,432.69
  4. Step 4: Simplify right side
    1,010,658.94x = 2,209,482,134,468.47
  5. Step 5: Solve for x
    x = 2,209,482,134,468.47/1,010,658.94
  6. Step 6: Final answer
    x = 2,186,179.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.