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Finding the Third Proportional to 1,585,968.75 and 2,382,471

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Solution

The third proportional to 1,585,968.75 and 2,382,471 is: 3,578,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,968.75 : 2,382,471 = 2,382,471 : x
  2. Step 2: Convert to fraction form
    1,585,968.75/2,382,471 = 2,382,471/x
  3. Step 3: Cross multiply
    1,585,968.75x = 2,382,471 × 2,382,471
  4. Step 4: Simplify right side
    1,585,968.75x = 5,676,168,065,841
  5. Step 5: Solve for x
    x = 5,676,168,065,841/1,585,968.75
  6. Step 6: Final answer
    x = 3,578,991.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.