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Finding the Third Proportional to 929,832 and 1,436,202

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Solution

The third proportional to 929,832 and 1,436,202 is: 2,218,332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,832 : 1,436,202 = 1,436,202 : x
  2. Step 2: Convert to fraction form
    929,832/1,436,202 = 1,436,202/x
  3. Step 3: Cross multiply
    929,832x = 1,436,202 × 1,436,202
  4. Step 4: Simplify right side
    929,832x = 2,062,676,184,804
  5. Step 5: Solve for x
    x = 2,062,676,184,804/929,832
  6. Step 6: Final answer
    x = 2,218,332.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.