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Finding the Third Proportional to 450,216 and 983,376

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Solution

The third proportional to 450,216 and 983,376 is: 2,147,920.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,216 : 983,376 = 983,376 : x
  2. Step 2: Convert to fraction form
    450,216/983,376 = 983,376/x
  3. Step 3: Cross multiply
    450,216x = 983,376 × 983,376
  4. Step 4: Simplify right side
    450,216x = 967,028,357,376
  5. Step 5: Solve for x
    x = 967,028,357,376/450,216
  6. Step 6: Final answer
    x = 2,147,920.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.