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Finding the Third Proportional to 410,643 and 878,019.75

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Solution

The third proportional to 410,643 and 878,019.75 is: 1,877,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,643 : 878,019.75 = 878,019.75 : x
  2. Step 2: Convert to fraction form
    410,643/878,019.75 = 878,019.75/x
  3. Step 3: Cross multiply
    410,643x = 878,019.75 × 878,019.75
  4. Step 4: Simplify right side
    410,643x = 770,918,681,390.06
  5. Step 5: Solve for x
    x = 770,918,681,390.06/410,643
  6. Step 6: Final answer
    x = 1,877,345.24

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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.