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Finding the Third Proportional to 738,917 and 1,599,276

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Solution

The third proportional to 738,917 and 1,599,276 is: 3,461,395.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,917 : 1,599,276 = 1,599,276 : x
  2. Step 2: Convert to fraction form
    738,917/1,599,276 = 1,599,276/x
  3. Step 3: Cross multiply
    738,917x = 1,599,276 × 1,599,276
  4. Step 4: Simplify right side
    738,917x = 2,557,683,724,176
  5. Step 5: Solve for x
    x = 2,557,683,724,176/738,917
  6. Step 6: Final answer
    x = 3,461,395.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.