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Finding the Third Proportional to 1,287,424.13 and 1,947,705.75

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Solution

The third proportional to 1,287,424.13 and 1,947,705.75 is: 2,946,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,424.13 : 1,947,705.75 = 1,947,705.75 : x
  2. Step 2: Convert to fraction form
    1,287,424.13/1,947,705.75 = 1,947,705.75/x
  3. Step 3: Cross multiply
    1,287,424.13x = 1,947,705.75 × 1,947,705.75
  4. Step 4: Simplify right side
    1,287,424.13x = 3,793,557,688,583.06
  5. Step 5: Solve for x
    x = 3,793,557,688,583.06/1,287,424.13
  6. Step 6: Final answer
    x = 2,946,626.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.