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Finding the Third Proportional to 840,360 and 1,261,128

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Solution

The third proportional to 840,360 and 1,261,128 is: 1,892,574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,360 : 1,261,128 = 1,261,128 : x
  2. Step 2: Convert to fraction form
    840,360/1,261,128 = 1,261,128/x
  3. Step 3: Cross multiply
    840,360x = 1,261,128 × 1,261,128
  4. Step 4: Simplify right side
    840,360x = 1,590,443,832,384
  5. Step 5: Solve for x
    x = 1,590,443,832,384/840,360
  6. Step 6: Final answer
    x = 1,892,574.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.