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Finding the Third Proportional to 825,208 and 1,113,396

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Solution

The third proportional to 825,208 and 1,113,396 is: 1,502,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,208 : 1,113,396 = 1,113,396 : x
  2. Step 2: Convert to fraction form
    825,208/1,113,396 = 1,113,396/x
  3. Step 3: Cross multiply
    825,208x = 1,113,396 × 1,113,396
  4. Step 4: Simplify right side
    825,208x = 1,239,650,652,816
  5. Step 5: Solve for x
    x = 1,239,650,652,816/825,208
  6. Step 6: Final answer
    x = 1,502,228.11

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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.