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Finding the Third Proportional to 586,906 and 1,286,321

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Solution

The third proportional to 586,906 and 1,286,321 is: 2,819,227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,906 : 1,286,321 = 1,286,321 : x
  2. Step 2: Convert to fraction form
    586,906/1,286,321 = 1,286,321/x
  3. Step 3: Cross multiply
    586,906x = 1,286,321 × 1,286,321
  4. Step 4: Simplify right side
    586,906x = 1,654,621,715,041
  5. Step 5: Solve for x
    x = 1,654,621,715,041/586,906
  6. Step 6: Final answer
    x = 2,819,227.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.