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Finding the Third Proportional to 698,530.50 and 1,527,822

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Solution

The third proportional to 698,530.50 and 1,527,822 is: 3,341,643.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,530.50 : 1,527,822 = 1,527,822 : x
  2. Step 2: Convert to fraction form
    698,530.50/1,527,822 = 1,527,822/x
  3. Step 3: Cross multiply
    698,530.50x = 1,527,822 × 1,527,822
  4. Step 4: Simplify right side
    698,530.50x = 2,334,240,063,684
  5. Step 5: Solve for x
    x = 2,334,240,063,684/698,530.50
  6. Step 6: Final answer
    x = 3,341,643.73

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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.