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Finding the Third Proportional to 1,178,649 and 2,573,194.50

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Solution

The third proportional to 1,178,649 and 2,573,194.50 is: 5,617,728.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,649 : 2,573,194.50 = 2,573,194.50 : x
  2. Step 2: Convert to fraction form
    1,178,649/2,573,194.50 = 2,573,194.50/x
  3. Step 3: Cross multiply
    1,178,649x = 2,573,194.50 × 2,573,194.50
  4. Step 4: Simplify right side
    1,178,649x = 6,621,329,934,830.25
  5. Step 5: Solve for x
    x = 6,621,329,934,830.25/1,178,649
  6. Step 6: Final answer
    x = 5,617,728.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.