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Finding the Third Proportional to 1,407,132 and 3,033,207

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Solution

The third proportional to 1,407,132 and 3,033,207 is: 6,538,366.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,132 : 3,033,207 = 3,033,207 : x
  2. Step 2: Convert to fraction form
    1,407,132/3,033,207 = 3,033,207/x
  3. Step 3: Cross multiply
    1,407,132x = 3,033,207 × 3,033,207
  4. Step 4: Simplify right side
    1,407,132x = 9,200,344,704,849
  5. Step 5: Solve for x
    x = 9,200,344,704,849/1,407,132
  6. Step 6: Final answer
    x = 6,538,366.48

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Why These Related Problems?

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