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Finding the Third Proportional to 4,355,136 and 6,408,288

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Solution

The third proportional to 4,355,136 and 6,408,288 is: 9,429,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,355,136 : 6,408,288 = 6,408,288 : x
  2. Step 2: Convert to fraction form
    4,355,136/6,408,288 = 6,408,288/x
  3. Step 3: Cross multiply
    4,355,136x = 6,408,288 × 6,408,288
  4. Step 4: Simplify right side
    4,355,136x = 41,066,155,090,944
  5. Step 5: Solve for x
    x = 41,066,155,090,944/4,355,136
  6. Step 6: Final answer
    x = 9,429,362.27

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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.