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Finding the Third Proportional to 713,943 and 1,552,302

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Solution

The third proportional to 713,943 and 1,552,302 is: 3,375,117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,943 : 1,552,302 = 1,552,302 : x
  2. Step 2: Convert to fraction form
    713,943/1,552,302 = 1,552,302/x
  3. Step 3: Cross multiply
    713,943x = 1,552,302 × 1,552,302
  4. Step 4: Simplify right side
    713,943x = 2,409,641,499,204
  5. Step 5: Solve for x
    x = 2,409,641,499,204/713,943
  6. Step 6: Final answer
    x = 3,375,117.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.