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Finding the Third Proportional to 585,090 and 1,216,164

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Solution

The third proportional to 585,090 and 1,216,164 is: 2,527,910.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,090 : 1,216,164 = 1,216,164 : x
  2. Step 2: Convert to fraction form
    585,090/1,216,164 = 1,216,164/x
  3. Step 3: Cross multiply
    585,090x = 1,216,164 × 1,216,164
  4. Step 4: Simplify right side
    585,090x = 1,479,054,874,896
  5. Step 5: Solve for x
    x = 1,479,054,874,896/585,090
  6. Step 6: Final answer
    x = 2,527,910.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.