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Finding the Third Proportional to 948,440 and 1,686,356

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Solution

The third proportional to 948,440 and 1,686,356 is: 2,998,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,440 : 1,686,356 = 1,686,356 : x
  2. Step 2: Convert to fraction form
    948,440/1,686,356 = 1,686,356/x
  3. Step 3: Cross multiply
    948,440x = 1,686,356 × 1,686,356
  4. Step 4: Simplify right side
    948,440x = 2,843,796,558,736
  5. Step 5: Solve for x
    x = 2,843,796,558,736/948,440
  6. Step 6: Final answer
    x = 2,998,393.74

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.