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Finding the Third Proportional to 4,426,848 and 6,513,682

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Solution

The third proportional to 4,426,848 and 6,513,682 is: 9,584,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,426,848 : 6,513,682 = 6,513,682 : x
  2. Step 2: Convert to fraction form
    4,426,848/6,513,682 = 6,513,682/x
  3. Step 3: Cross multiply
    4,426,848x = 6,513,682 × 6,513,682
  4. Step 4: Simplify right side
    4,426,848x = 42,428,053,197,124
  5. Step 5: Solve for x
    x = 42,428,053,197,124/4,426,848
  6. Step 6: Final answer
    x = 9,584,257.96

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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.