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Finding the Third Proportional to 4,556,586 and 6,408,534

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Solution

The third proportional to 4,556,586 and 6,408,534 is: 9,013,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556,586 : 6,408,534 = 6,408,534 : x
  2. Step 2: Convert to fraction form
    4,556,586/6,408,534 = 6,408,534/x
  3. Step 3: Cross multiply
    4,556,586x = 6,408,534 × 6,408,534
  4. Step 4: Simplify right side
    4,556,586x = 41,069,308,029,156
  5. Step 5: Solve for x
    x = 41,069,308,029,156/4,556,586
  6. Step 6: Final answer
    x = 9,013,175.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.