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Finding the Third Proportional to 1,278,280 and 2,736,116.50

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Solution

The third proportional to 1,278,280 and 2,736,116.50 is: 5,856,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,280 : 2,736,116.50 = 2,736,116.50 : x
  2. Step 2: Convert to fraction form
    1,278,280/2,736,116.50 = 2,736,116.50/x
  3. Step 3: Cross multiply
    1,278,280x = 2,736,116.50 × 2,736,116.50
  4. Step 4: Simplify right side
    1,278,280x = 7,486,333,501,572.25
  5. Step 5: Solve for x
    x = 7,486,333,501,572.25/1,278,280
  6. Step 6: Final answer
    x = 5,856,567.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.