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Finding the Third Proportional to 825,210 and 1,113,399

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Solution

The third proportional to 825,210 and 1,113,399 is: 1,502,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,210 : 1,113,399 = 1,113,399 : x
  2. Step 2: Convert to fraction form
    825,210/1,113,399 = 1,113,399/x
  3. Step 3: Cross multiply
    825,210x = 1,113,399 × 1,113,399
  4. Step 4: Simplify right side
    825,210x = 1,239,657,333,201
  5. Step 5: Solve for x
    x = 1,239,657,333,201/825,210
  6. Step 6: Final answer
    x = 1,502,232.56

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.