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Finding the Third Proportional to 585,377 and 1,258,098

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Solution

The third proportional to 585,377 and 1,258,098 is: 2,703,916.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,377 : 1,258,098 = 1,258,098 : x
  2. Step 2: Convert to fraction form
    585,377/1,258,098 = 1,258,098/x
  3. Step 3: Cross multiply
    585,377x = 1,258,098 × 1,258,098
  4. Step 4: Simplify right side
    585,377x = 1,582,810,577,604
  5. Step 5: Solve for x
    x = 1,582,810,577,604/585,377
  6. Step 6: Final answer
    x = 2,703,916.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.