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Finding the Third Proportional to 753,006 and 1,653,468

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Solution

The third proportional to 753,006 and 1,653,468 is: 3,630,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,006 : 1,653,468 = 1,653,468 : x
  2. Step 2: Convert to fraction form
    753,006/1,653,468 = 1,653,468/x
  3. Step 3: Cross multiply
    753,006x = 1,653,468 × 1,653,468
  4. Step 4: Simplify right side
    753,006x = 2,733,956,427,024
  5. Step 5: Solve for x
    x = 2,733,956,427,024/753,006
  6. Step 6: Final answer
    x = 3,630,723.30

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