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Finding the Third Proportional to 698,532 and 1,527,825

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Solution

The third proportional to 698,532 and 1,527,825 is: 3,341,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,532 : 1,527,825 = 1,527,825 : x
  2. Step 2: Convert to fraction form
    698,532/1,527,825 = 1,527,825/x
  3. Step 3: Cross multiply
    698,532x = 1,527,825 × 1,527,825
  4. Step 4: Simplify right side
    698,532x = 2,334,249,230,625
  5. Step 5: Solve for x
    x = 2,334,249,230,625/698,532
  6. Step 6: Final answer
    x = 3,341,649.67

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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.