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Finding the Third Proportional to 753,005 and 1,653,466

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Solution

The third proportional to 753,005 and 1,653,466 is: 3,630,719.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,005 : 1,653,466 = 1,653,466 : x
  2. Step 2: Convert to fraction form
    753,005/1,653,466 = 1,653,466/x
  3. Step 3: Cross multiply
    753,005x = 1,653,466 × 1,653,466
  4. Step 4: Simplify right side
    753,005x = 2,733,949,813,156
  5. Step 5: Solve for x
    x = 2,733,949,813,156/753,005
  6. Step 6: Final answer
    x = 3,630,719.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.