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Finding the Third Proportional to 1,578,533 and 3,409,291

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Solution

The third proportional to 1,578,533 and 3,409,291 is: 7,363,333.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,533 : 3,409,291 = 3,409,291 : x
  2. Step 2: Convert to fraction form
    1,578,533/3,409,291 = 3,409,291/x
  3. Step 3: Cross multiply
    1,578,533x = 3,409,291 × 3,409,291
  4. Step 4: Simplify right side
    1,578,533x = 11,623,265,122,681
  5. Step 5: Solve for x
    x = 11,623,265,122,681/1,578,533
  6. Step 6: Final answer
    x = 7,363,333.63

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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.