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Finding the Third Proportional to 1,232,338 and 1,648,356

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Solution

The third proportional to 1,232,338 and 1,648,356 is: 2,204,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232,338 : 1,648,356 = 1,648,356 : x
  2. Step 2: Convert to fraction form
    1,232,338/1,648,356 = 1,648,356/x
  3. Step 3: Cross multiply
    1,232,338x = 1,648,356 × 1,648,356
  4. Step 4: Simplify right side
    1,232,338x = 2,717,077,502,736
  5. Step 5: Solve for x
    x = 2,717,077,502,736/1,232,338
  6. Step 6: Final answer
    x = 2,204,815.16

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.