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Finding the Third Proportional to 673,352 and 1,451,656

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Solution

The third proportional to 673,352 and 1,451,656 is: 3,129,574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,352 : 1,451,656 = 1,451,656 : x
  2. Step 2: Convert to fraction form
    673,352/1,451,656 = 1,451,656/x
  3. Step 3: Cross multiply
    673,352x = 1,451,656 × 1,451,656
  4. Step 4: Simplify right side
    673,352x = 2,107,305,142,336
  5. Step 5: Solve for x
    x = 2,107,305,142,336/673,352
  6. Step 6: Final answer
    x = 3,129,574.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.