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Finding the Third Proportional to 462,284 and 994,552

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Solution

The third proportional to 462,284 and 994,552 is: 2,139,666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,284 : 994,552 = 994,552 : x
  2. Step 2: Convert to fraction form
    462,284/994,552 = 994,552/x
  3. Step 3: Cross multiply
    462,284x = 994,552 × 994,552
  4. Step 4: Simplify right side
    462,284x = 989,133,680,704
  5. Step 5: Solve for x
    x = 989,133,680,704/462,284
  6. Step 6: Final answer
    x = 2,139,666.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.