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Finding the Third Proportional to 619,572 and 970,716

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Solution

The third proportional to 619,572 and 970,716 is: 1,520,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,572 : 970,716 = 970,716 : x
  2. Step 2: Convert to fraction form
    619,572/970,716 = 970,716/x
  3. Step 3: Cross multiply
    619,572x = 970,716 × 970,716
  4. Step 4: Simplify right side
    619,572x = 942,289,552,656
  5. Step 5: Solve for x
    x = 942,289,552,656/619,572
  6. Step 6: Final answer
    x = 1,520,871.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.