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Finding the Third Proportional to 585,000 and 1,265,949

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Solution

The third proportional to 585,000 and 1,265,949 is: 2,739,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,000 : 1,265,949 = 1,265,949 : x
  2. Step 2: Convert to fraction form
    585,000/1,265,949 = 1,265,949/x
  3. Step 3: Cross multiply
    585,000x = 1,265,949 × 1,265,949
  4. Step 4: Simplify right side
    585,000x = 1,602,626,870,601
  5. Step 5: Solve for x
    x = 1,602,626,870,601/585,000
  6. Step 6: Final answer
    x = 2,739,533.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.