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Finding the Third Proportional to 452,217 and 983,165

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Solution

The third proportional to 452,217 and 983,165 is: 2,137,499.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,217 : 983,165 = 983,165 : x
  2. Step 2: Convert to fraction form
    452,217/983,165 = 983,165/x
  3. Step 3: Cross multiply
    452,217x = 983,165 × 983,165
  4. Step 4: Simplify right side
    452,217x = 966,613,417,225
  5. Step 5: Solve for x
    x = 966,613,417,225/452,217
  6. Step 6: Final answer
    x = 2,137,499.07

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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.