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Finding the Third Proportional to 453,633 and 990,282

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Solution

The third proportional to 453,633 and 990,282 is: 2,161,788.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,633 : 990,282 = 990,282 : x
  2. Step 2: Convert to fraction form
    453,633/990,282 = 990,282/x
  3. Step 3: Cross multiply
    453,633x = 990,282 × 990,282
  4. Step 4: Simplify right side
    453,633x = 980,658,439,524
  5. Step 5: Solve for x
    x = 980,658,439,524/453,633
  6. Step 6: Final answer
    x = 2,161,788.14

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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.