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Finding the Third Proportional to 623,466 and 1,340,173

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Solution

The third proportional to 623,466 and 1,340,173 is: 2,880,772.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,466 : 1,340,173 = 1,340,173 : x
  2. Step 2: Convert to fraction form
    623,466/1,340,173 = 1,340,173/x
  3. Step 3: Cross multiply
    623,466x = 1,340,173 × 1,340,173
  4. Step 4: Simplify right side
    623,466x = 1,796,063,669,929
  5. Step 5: Solve for x
    x = 1,796,063,669,929/623,466
  6. Step 6: Final answer
    x = 2,880,772.44

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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.