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Finding the Third Proportional to 586,986 and 1,286,508

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Solution

The third proportional to 586,986 and 1,286,508 is: 2,819,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,986 : 1,286,508 = 1,286,508 : x
  2. Step 2: Convert to fraction form
    586,986/1,286,508 = 1,286,508/x
  3. Step 3: Cross multiply
    586,986x = 1,286,508 × 1,286,508
  4. Step 4: Simplify right side
    586,986x = 1,655,102,834,064
  5. Step 5: Solve for x
    x = 1,655,102,834,064/586,986
  6. Step 6: Final answer
    x = 2,819,663.22

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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.