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Finding the Third Proportional to 1,022,828 and 2,153,488

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Solution

The third proportional to 1,022,828 and 2,153,488 is: 4,534,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,828 : 2,153,488 = 2,153,488 : x
  2. Step 2: Convert to fraction form
    1,022,828/2,153,488 = 2,153,488/x
  3. Step 3: Cross multiply
    1,022,828x = 2,153,488 × 2,153,488
  4. Step 4: Simplify right side
    1,022,828x = 4,637,510,566,144
  5. Step 5: Solve for x
    x = 4,637,510,566,144/1,022,828
  6. Step 6: Final answer
    x = 4,534,008.23

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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.