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Finding the Third Proportional to 3,212,229 and 4,729,527

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Solution

The third proportional to 3,212,229 and 4,729,527 is: 6,963,521.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212,229 : 4,729,527 = 4,729,527 : x
  2. Step 2: Convert to fraction form
    3,212,229/4,729,527 = 4,729,527/x
  3. Step 3: Cross multiply
    3,212,229x = 4,729,527 × 4,729,527
  4. Step 4: Simplify right side
    3,212,229x = 22,368,425,643,729
  5. Step 5: Solve for x
    x = 22,368,425,643,729/3,212,229
  6. Step 6: Final answer
    x = 6,963,521.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.