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Finding the Third Proportional to 3,905,415 and 6,046,527

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Solution

The third proportional to 3,905,415 and 6,046,527 is: 9,361,486.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905,415 : 6,046,527 = 6,046,527 : x
  2. Step 2: Convert to fraction form
    3,905,415/6,046,527 = 6,046,527/x
  3. Step 3: Cross multiply
    3,905,415x = 6,046,527 × 6,046,527
  4. Step 4: Simplify right side
    3,905,415x = 36,560,488,761,729
  5. Step 5: Solve for x
    x = 36,560,488,761,729/3,905,415
  6. Step 6: Final answer
    x = 9,361,486.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.