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Finding the Third Proportional to 1,530,533 and 3,336,643

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Solution

The third proportional to 1,530,533 and 3,336,643 is: 7,274,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530,533 : 3,336,643 = 3,336,643 : x
  2. Step 2: Convert to fraction form
    1,530,533/3,336,643 = 3,336,643/x
  3. Step 3: Cross multiply
    1,530,533x = 3,336,643 × 3,336,643
  4. Step 4: Simplify right side
    1,530,533x = 11,133,186,509,449
  5. Step 5: Solve for x
    x = 11,133,186,509,449/1,530,533
  6. Step 6: Final answer
    x = 7,274,058.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.