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Finding the Third Proportional to 723,398 and 1,588,678

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Solution

The third proportional to 723,398 and 1,588,678 is: 3,488,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,398 : 1,588,678 = 1,588,678 : x
  2. Step 2: Convert to fraction form
    723,398/1,588,678 = 1,588,678/x
  3. Step 3: Cross multiply
    723,398x = 1,588,678 × 1,588,678
  4. Step 4: Simplify right side
    723,398x = 2,523,897,787,684
  5. Step 5: Solve for x
    x = 2,523,897,787,684/723,398
  6. Step 6: Final answer
    x = 3,488,947.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.