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Finding the Third Proportional to 1,748,854.13 and 3,796,427.81

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Solution

The third proportional to 1,748,854.13 and 3,796,427.81 is: 8,241,318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748,854.13 : 3,796,427.81 = 3,796,427.81 : x
  2. Step 2: Convert to fraction form
    1,748,854.13/3,796,427.81 = 3,796,427.81/x
  3. Step 3: Cross multiply
    1,748,854.13x = 3,796,427.81 × 3,796,427.81
  4. Step 4: Simplify right side
    1,748,854.13x = 14,412,864,135,523.54
  5. Step 5: Solve for x
    x = 14,412,864,135,523.54/1,748,854.13
  6. Step 6: Final answer
    x = 8,241,318.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.