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Finding the Third Proportional to 1,665,285.75 and 3,461,465.81

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Solution

The third proportional to 1,665,285.75 and 3,461,465.81 is: 7,195,008.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665,285.75 : 3,461,465.81 = 3,461,465.81 : x
  2. Step 2: Convert to fraction form
    1,665,285.75/3,461,465.81 = 3,461,465.81/x
  3. Step 3: Cross multiply
    1,665,285.75x = 3,461,465.81 × 3,461,465.81
  4. Step 4: Simplify right side
    1,665,285.75x = 11,981,745,571,106.29
  5. Step 5: Solve for x
    x = 11,981,745,571,106.29/1,665,285.75
  6. Step 6: Final answer
    x = 7,195,008.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.