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Finding the Third Proportional to 1,142,822 and 2,457,633

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Solution

The third proportional to 1,142,822 and 2,457,633 is: 5,285,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,822 : 2,457,633 = 2,457,633 : x
  2. Step 2: Convert to fraction form
    1,142,822/2,457,633 = 2,457,633/x
  3. Step 3: Cross multiply
    1,142,822x = 2,457,633 × 2,457,633
  4. Step 4: Simplify right side
    1,142,822x = 6,039,959,962,689
  5. Step 5: Solve for x
    x = 6,039,959,962,689/1,142,822
  6. Step 6: Final answer
    x = 5,285,127.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.