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Finding the Third Proportional to 2,051,505 and 4,748,866.88

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Solution

The third proportional to 2,051,505 and 4,748,866.88 is: 10,992,776.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,505 : 4,748,866.88 = 4,748,866.88 : x
  2. Step 2: Convert to fraction form
    2,051,505/4,748,866.88 = 4,748,866.88/x
  3. Step 3: Cross multiply
    2,051,505x = 4,748,866.88 × 4,748,866.88
  4. Step 4: Simplify right side
    2,051,505x = 22,551,736,596,472.27
  5. Step 5: Solve for x
    x = 22,551,736,596,472.27/2,051,505
  6. Step 6: Final answer
    x = 10,992,776.81

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.