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Finding the Third Proportional to 586,902 and 1,286,313

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Solution

The third proportional to 586,902 and 1,286,313 is: 2,819,211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,902 : 1,286,313 = 1,286,313 : x
  2. Step 2: Convert to fraction form
    586,902/1,286,313 = 1,286,313/x
  3. Step 3: Cross multiply
    586,902x = 1,286,313 × 1,286,313
  4. Step 4: Simplify right side
    586,902x = 1,654,601,133,969
  5. Step 5: Solve for x
    x = 1,654,601,133,969/586,902
  6. Step 6: Final answer
    x = 2,819,211.95

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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.