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Finding the Third Proportional to 3,462,698.74 and 5,174,666.96

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Solution

The third proportional to 3,462,698.74 and 5,174,666.96 is: 7,733,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462,698.74 : 5,174,666.96 = 5,174,666.96 : x
  2. Step 2: Convert to fraction form
    3,462,698.74/5,174,666.96 = 5,174,666.96/x
  3. Step 3: Cross multiply
    3,462,698.74x = 5,174,666.96 × 5,174,666.96
  4. Step 4: Simplify right side
    3,462,698.74x = 26,777,178,197,045.75
  5. Step 5: Solve for x
    x = 26,777,178,197,045.75/3,462,698.74
  6. Step 6: Final answer
    x = 7,733,037.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.