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Finding the Third Proportional to 585,888 and 1,260,096

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Solution

The third proportional to 585,888 and 1,260,096 is: 2,710,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,888 : 1,260,096 = 1,260,096 : x
  2. Step 2: Convert to fraction form
    585,888/1,260,096 = 1,260,096/x
  3. Step 3: Cross multiply
    585,888x = 1,260,096 × 1,260,096
  4. Step 4: Simplify right side
    585,888x = 1,587,841,929,216
  5. Step 5: Solve for x
    x = 1,587,841,929,216/585,888
  6. Step 6: Final answer
    x = 2,710,145.85

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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.