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Finding the Third Proportional to 825,209 and 1,772,437.50

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Solution

The third proportional to 825,209 and 1,772,437.50 is: 3,806,956.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,209 : 1,772,437.50 = 1,772,437.50 : x
  2. Step 2: Convert to fraction form
    825,209/1,772,437.50 = 1,772,437.50/x
  3. Step 3: Cross multiply
    825,209x = 1,772,437.50 × 1,772,437.50
  4. Step 4: Simplify right side
    825,209x = 3,141,534,691,406.25
  5. Step 5: Solve for x
    x = 3,141,534,691,406.25/825,209
  6. Step 6: Final answer
    x = 3,806,956.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.