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Finding the Third Proportional to 450,486 and 979,362

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Solution

The third proportional to 450,486 and 979,362 is: 2,129,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,486 : 979,362 = 979,362 : x
  2. Step 2: Convert to fraction form
    450,486/979,362 = 979,362/x
  3. Step 3: Cross multiply
    450,486x = 979,362 × 979,362
  4. Step 4: Simplify right side
    450,486x = 959,149,927,044
  5. Step 5: Solve for x
    x = 959,149,927,044/450,486
  6. Step 6: Final answer
    x = 2,129,144.81

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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.