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Finding the Third Proportional to 1,022,808 and 2,153,448

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Solution

The third proportional to 1,022,808 and 2,153,448 is: 4,533,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,808 : 2,153,448 = 2,153,448 : x
  2. Step 2: Convert to fraction form
    1,022,808/2,153,448 = 2,153,448/x
  3. Step 3: Cross multiply
    1,022,808x = 2,153,448 × 2,153,448
  4. Step 4: Simplify right side
    1,022,808x = 4,637,338,288,704
  5. Step 5: Solve for x
    x = 4,637,338,288,704/1,022,808
  6. Step 6: Final answer
    x = 4,533,928.45

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.