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Finding the Third Proportional to 1,287,047.81 and 2,821,363.31

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Solution

The third proportional to 1,287,047.81 and 2,821,363.31 is: 6,184,767.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,047.81 : 2,821,363.31 = 2,821,363.31 : x
  2. Step 2: Convert to fraction form
    1,287,047.81/2,821,363.31 = 2,821,363.31/x
  3. Step 3: Cross multiply
    1,287,047.81x = 2,821,363.31 × 2,821,363.31
  4. Step 4: Simplify right side
    1,287,047.81x = 7,960,090,941,120.97
  5. Step 5: Solve for x
    x = 7,960,090,941,120.97/1,287,047.81
  6. Step 6: Final answer
    x = 6,184,767.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.