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Finding the Third Proportional to 1,358,364 and 1,838,256

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Solution

The third proportional to 1,358,364 and 1,838,256 is: 2,487,687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358,364 : 1,838,256 = 1,838,256 : x
  2. Step 2: Convert to fraction form
    1,358,364/1,838,256 = 1,838,256/x
  3. Step 3: Cross multiply
    1,358,364x = 1,838,256 × 1,838,256
  4. Step 4: Simplify right side
    1,358,364x = 3,379,185,121,536
  5. Step 5: Solve for x
    x = 3,379,185,121,536/1,358,364
  6. Step 6: Final answer
    x = 2,487,687.48

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.