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Finding the Third Proportional to 4,781,561 and 7,186,356

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Solution

The third proportional to 4,781,561 and 7,186,356 is: 10,800,596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781,561 : 7,186,356 = 7,186,356 : x
  2. Step 2: Convert to fraction form
    4,781,561/7,186,356 = 7,186,356/x
  3. Step 3: Cross multiply
    4,781,561x = 7,186,356 × 7,186,356
  4. Step 4: Simplify right side
    4,781,561x = 51,643,712,558,736
  5. Step 5: Solve for x
    x = 51,643,712,558,736/4,781,561
  6. Step 6: Final answer
    x = 10,800,596.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.