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Finding the Third Proportional to 880,275.94 and 1,928,677.50

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Solution

The third proportional to 880,275.94 and 1,928,677.50 is: 4,225,716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,275.94 : 1,928,677.50 = 1,928,677.50 : x
  2. Step 2: Convert to fraction form
    880,275.94/1,928,677.50 = 1,928,677.50/x
  3. Step 3: Cross multiply
    880,275.94x = 1,928,677.50 × 1,928,677.50
  4. Step 4: Simplify right side
    880,275.94x = 3,719,796,899,006.25
  5. Step 5: Solve for x
    x = 3,719,796,899,006.25/880,275.94
  6. Step 6: Final answer
    x = 4,225,716.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.