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Finding the Third Proportional to 832,522 and 1,783,170

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Solution

The third proportional to 832,522 and 1,783,170 is: 3,819,352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,522 : 1,783,170 = 1,783,170 : x
  2. Step 2: Convert to fraction form
    832,522/1,783,170 = 1,783,170/x
  3. Step 3: Cross multiply
    832,522x = 1,783,170 × 1,783,170
  4. Step 4: Simplify right side
    832,522x = 3,179,695,248,900
  5. Step 5: Solve for x
    x = 3,179,695,248,900/832,522
  6. Step 6: Final answer
    x = 3,819,352.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.