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Finding the Third Proportional to 452,216 and 983,163

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Solution

The third proportional to 452,216 and 983,163 is: 2,137,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,216 : 983,163 = 983,163 : x
  2. Step 2: Convert to fraction form
    452,216/983,163 = 983,163/x
  3. Step 3: Cross multiply
    452,216x = 983,163 × 983,163
  4. Step 4: Simplify right side
    452,216x = 966,609,484,569
  5. Step 5: Solve for x
    x = 966,609,484,569/452,216
  6. Step 6: Final answer
    x = 2,137,495.10

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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.