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Finding the Third Proportional to 586,398 and 1,284,903

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Solution

The third proportional to 586,398 and 1,284,903 is: 2,815,452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,398 : 1,284,903 = 1,284,903 : x
  2. Step 2: Convert to fraction form
    586,398/1,284,903 = 1,284,903/x
  3. Step 3: Cross multiply
    586,398x = 1,284,903 × 1,284,903
  4. Step 4: Simplify right side
    586,398x = 1,650,975,719,409
  5. Step 5: Solve for x
    x = 1,650,975,719,409/586,398
  6. Step 6: Final answer
    x = 2,815,452.51

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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.