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Finding the Third Proportional to 585,795 and 1,218,239

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Solution

The third proportional to 585,795 and 1,218,239 is: 2,533,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,795 : 1,218,239 = 1,218,239 : x
  2. Step 2: Convert to fraction form
    585,795/1,218,239 = 1,218,239/x
  3. Step 3: Cross multiply
    585,795x = 1,218,239 × 1,218,239
  4. Step 4: Simplify right side
    585,795x = 1,484,106,261,121
  5. Step 5: Solve for x
    x = 1,484,106,261,121/585,795
  6. Step 6: Final answer
    x = 2,533,490.83

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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.