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Finding the Third Proportional to 469,382 and 1,009,519

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Solution

The third proportional to 469,382 and 1,009,519 is: 2,171,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,382 : 1,009,519 = 1,009,519 : x
  2. Step 2: Convert to fraction form
    469,382/1,009,519 = 1,009,519/x
  3. Step 3: Cross multiply
    469,382x = 1,009,519 × 1,009,519
  4. Step 4: Simplify right side
    469,382x = 1,019,128,611,361
  5. Step 5: Solve for x
    x = 1,019,128,611,361/469,382
  6. Step 6: Final answer
    x = 2,171,213.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.