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Finding the Third Proportional to 700,875 and 1,524,769

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Solution

The third proportional to 700,875 and 1,524,769 is: 3,317,168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,875 : 1,524,769 = 1,524,769 : x
  2. Step 2: Convert to fraction form
    700,875/1,524,769 = 1,524,769/x
  3. Step 3: Cross multiply
    700,875x = 1,524,769 × 1,524,769
  4. Step 4: Simplify right side
    700,875x = 2,324,920,503,361
  5. Step 5: Solve for x
    x = 2,324,920,503,361/700,875
  6. Step 6: Final answer
    x = 3,317,168.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.