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Finding the Third Proportional to 623,463 and 1,340,166

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Solution

The third proportional to 623,463 and 1,340,166 is: 2,880,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,463 : 1,340,166 = 1,340,166 : x
  2. Step 2: Convert to fraction form
    623,463/1,340,166 = 1,340,166/x
  3. Step 3: Cross multiply
    623,463x = 1,340,166 × 1,340,166
  4. Step 4: Simplify right side
    623,463x = 1,796,044,907,556
  5. Step 5: Solve for x
    x = 1,796,044,907,556/623,463
  6. Step 6: Final answer
    x = 2,880,756.21

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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.