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Finding the Third Proportional to 469,215 and 1,011,384

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Solution

The third proportional to 469,215 and 1,011,384 is: 2,180,018.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,215 : 1,011,384 = 1,011,384 : x
  2. Step 2: Convert to fraction form
    469,215/1,011,384 = 1,011,384/x
  3. Step 3: Cross multiply
    469,215x = 1,011,384 × 1,011,384
  4. Step 4: Simplify right side
    469,215x = 1,022,897,595,456
  5. Step 5: Solve for x
    x = 1,022,897,595,456/469,215
  6. Step 6: Final answer
    x = 2,180,018.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.