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Finding the Third Proportional to 698,536 and 1,527,832

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Solution

The third proportional to 698,536 and 1,527,832 is: 3,341,661.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,536 : 1,527,832 = 1,527,832 : x
  2. Step 2: Convert to fraction form
    698,536/1,527,832 = 1,527,832/x
  3. Step 3: Cross multiply
    698,536x = 1,527,832 × 1,527,832
  4. Step 4: Simplify right side
    698,536x = 2,334,270,620,224
  5. Step 5: Solve for x
    x = 2,334,270,620,224/698,536
  6. Step 6: Final answer
    x = 3,341,661.16

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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.