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Finding the Third Proportional to 621,041 and 878,952

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Solution

The third proportional to 621,041 and 878,952 is: 1,243,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,041 : 878,952 = 878,952 : x
  2. Step 2: Convert to fraction form
    621,041/878,952 = 878,952/x
  3. Step 3: Cross multiply
    621,041x = 878,952 × 878,952
  4. Step 4: Simplify right side
    621,041x = 772,556,618,304
  5. Step 5: Solve for x
    x = 772,556,618,304/621,041
  6. Step 6: Final answer
    x = 1,243,970.40

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.