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Finding the Third Proportional to 1,009,767.52 and 2,161,382.48

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Solution

The third proportional to 1,009,767.52 and 2,161,382.48 is: 4,626,385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,767.52 : 2,161,382.48 = 2,161,382.48 : x
  2. Step 2: Convert to fraction form
    1,009,767.52/2,161,382.48 = 2,161,382.48/x
  3. Step 3: Cross multiply
    1,009,767.52x = 2,161,382.48 × 2,161,382.48
  4. Step 4: Simplify right side
    1,009,767.52x = 4,671,574,243,763.05
  5. Step 5: Solve for x
    x = 4,671,574,243,763.05/1,009,767.52
  6. Step 6: Final answer
    x = 4,626,385.95

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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.