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Finding the Third Proportional to 4,885,413 and 6,513,144

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Solution

The third proportional to 4,885,413 and 6,513,144 is: 8,683,205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885,413 : 6,513,144 = 6,513,144 : x
  2. Step 2: Convert to fraction form
    4,885,413/6,513,144 = 6,513,144/x
  3. Step 3: Cross multiply
    4,885,413x = 6,513,144 × 6,513,144
  4. Step 4: Simplify right side
    4,885,413x = 42,421,044,764,736
  5. Step 5: Solve for x
    x = 42,421,044,764,736/4,885,413
  6. Step 6: Final answer
    x = 8,683,205.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.