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Finding the Third Proportional to 3,021,711 and 4,685,747

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Solution

The third proportional to 3,021,711 and 4,685,747 is: 7,266,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021,711 : 4,685,747 = 4,685,747 : x
  2. Step 2: Convert to fraction form
    3,021,711/4,685,747 = 4,685,747/x
  3. Step 3: Cross multiply
    3,021,711x = 4,685,747 × 4,685,747
  4. Step 4: Simplify right side
    3,021,711x = 21,956,224,948,009
  5. Step 5: Solve for x
    x = 21,956,224,948,009/3,021,711
  6. Step 6: Final answer
    x = 7,266,156.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.