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Finding the Third Proportional to 452,670 and 983,216

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Solution

The third proportional to 452,670 and 983,216 is: 2,135,581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,670 : 983,216 = 983,216 : x
  2. Step 2: Convert to fraction form
    452,670/983,216 = 983,216/x
  3. Step 3: Cross multiply
    452,670x = 983,216 × 983,216
  4. Step 4: Simplify right side
    452,670x = 966,713,702,656
  5. Step 5: Solve for x
    x = 966,713,702,656/452,670
  6. Step 6: Final answer
    x = 2,135,581.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.