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Finding the Third Proportional to 1,900,432.76 and 4,484,249.86

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Solution

The third proportional to 1,900,432.76 and 4,484,249.86 is: 10,581,009.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900,432.76 : 4,484,249.86 = 4,484,249.86 : x
  2. Step 2: Convert to fraction form
    1,900,432.76/4,484,249.86 = 4,484,249.86/x
  3. Step 3: Cross multiply
    1,900,432.76x = 4,484,249.86 × 4,484,249.86
  4. Step 4: Simplify right side
    1,900,432.76x = 20,108,496,801,304.71
  5. Step 5: Solve for x
    x = 20,108,496,801,304.71/1,900,432.76
  6. Step 6: Final answer
    x = 10,581,009.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.