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Finding the Third Proportional to 736,241.91 and 1,539,184.78

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Solution

The third proportional to 736,241.91 and 1,539,184.78 is: 3,217,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,241.91 : 1,539,184.78 = 1,539,184.78 : x
  2. Step 2: Convert to fraction form
    736,241.91/1,539,184.78 = 1,539,184.78/x
  3. Step 3: Cross multiply
    736,241.91x = 1,539,184.78 × 1,539,184.78
  4. Step 4: Simplify right side
    736,241.91x = 2,369,089,790,831.61
  5. Step 5: Solve for x
    x = 2,369,089,790,831.61/736,241.91
  6. Step 6: Final answer
    x = 3,217,814.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.