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Finding the Third Proportional to 2,166,852 and 4,666,704

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Solution

The third proportional to 2,166,852 and 4,666,704 is: 10,050,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166,852 : 4,666,704 = 4,666,704 : x
  2. Step 2: Convert to fraction form
    2,166,852/4,666,704 = 4,666,704/x
  3. Step 3: Cross multiply
    2,166,852x = 4,666,704 × 4,666,704
  4. Step 4: Simplify right side
    2,166,852x = 21,778,126,223,616
  5. Step 5: Solve for x
    x = 21,778,126,223,616/2,166,852
  6. Step 6: Final answer
    x = 10,050,583.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.