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Finding the Third Proportional to 1,294,952 and 2,641,264

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Solution

The third proportional to 1,294,952 and 2,641,264 is: 5,387,285.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,952 : 2,641,264 = 2,641,264 : x
  2. Step 2: Convert to fraction form
    1,294,952/2,641,264 = 2,641,264/x
  3. Step 3: Cross multiply
    1,294,952x = 2,641,264 × 2,641,264
  4. Step 4: Simplify right side
    1,294,952x = 6,976,275,517,696
  5. Step 5: Solve for x
    x = 6,976,275,517,696/1,294,952
  6. Step 6: Final answer
    x = 5,387,285.03

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.