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Finding the Third Proportional to 1,071,360 and 1,620,864

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Solution

The third proportional to 1,071,360 and 1,620,864 is: 2,452,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,360 : 1,620,864 = 1,620,864 : x
  2. Step 2: Convert to fraction form
    1,071,360/1,620,864 = 1,620,864/x
  3. Step 3: Cross multiply
    1,071,360x = 1,620,864 × 1,620,864
  4. Step 4: Simplify right side
    1,071,360x = 2,627,200,106,496
  5. Step 5: Solve for x
    x = 2,627,200,106,496/1,071,360
  6. Step 6: Final answer
    x = 2,452,210.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.