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Finding the Third Proportional to 580,979 and 1,258,437

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Solution

The third proportional to 580,979 and 1,258,437 is: 2,725,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,979 : 1,258,437 = 1,258,437 : x
  2. Step 2: Convert to fraction form
    580,979/1,258,437 = 1,258,437/x
  3. Step 3: Cross multiply
    580,979x = 1,258,437 × 1,258,437
  4. Step 4: Simplify right side
    580,979x = 1,583,663,682,969
  5. Step 5: Solve for x
    x = 1,583,663,682,969/580,979
  6. Step 6: Final answer
    x = 2,725,853.57

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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.