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Finding the Third Proportional to 1,358,240 and 1,838,064

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Solution

The third proportional to 1,358,240 and 1,838,064 is: 2,487,394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358,240 : 1,838,064 = 1,838,064 : x
  2. Step 2: Convert to fraction form
    1,358,240/1,838,064 = 1,838,064/x
  3. Step 3: Cross multiply
    1,358,240x = 1,838,064 × 1,838,064
  4. Step 4: Simplify right side
    1,358,240x = 3,378,479,268,096
  5. Step 5: Solve for x
    x = 3,378,479,268,096/1,358,240
  6. Step 6: Final answer
    x = 2,487,394.91

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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.