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Finding the Third Proportional to 580,877 and 1,258,257

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Solution

The third proportional to 580,877 and 1,258,257 is: 2,725,552.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,877 : 1,258,257 = 1,258,257 : x
  2. Step 2: Convert to fraction form
    580,877/1,258,257 = 1,258,257/x
  3. Step 3: Cross multiply
    580,877x = 1,258,257 × 1,258,257
  4. Step 4: Simplify right side
    580,877x = 1,583,210,678,049
  5. Step 5: Solve for x
    x = 1,583,210,678,049/580,877
  6. Step 6: Final answer
    x = 2,725,552.36

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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.