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Finding the Third Proportional to 1,561,680 and 2,362,209.75

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Solution

The third proportional to 1,561,680 and 2,362,209.75 is: 3,573,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561,680 : 2,362,209.75 = 2,362,209.75 : x
  2. Step 2: Convert to fraction form
    1,561,680/2,362,209.75 = 2,362,209.75/x
  3. Step 3: Cross multiply
    1,561,680x = 2,362,209.75 × 2,362,209.75
  4. Step 4: Simplify right side
    1,561,680x = 5,580,034,902,995.06
  5. Step 5: Solve for x
    x = 5,580,034,902,995.06/1,561,680
  6. Step 6: Final answer
    x = 3,573,097.50

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Why These Related Problems?

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