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Finding the Third Proportional to 1,682,258.63 and 3,690,208.13

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Solution

The third proportional to 1,682,258.63 and 3,690,208.13 is: 8,094,852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,258.63 : 3,690,208.13 = 3,690,208.13 : x
  2. Step 2: Convert to fraction form
    1,682,258.63/3,690,208.13 = 3,690,208.13/x
  3. Step 3: Cross multiply
    1,682,258.63x = 3,690,208.13 × 3,690,208.13
  4. Step 4: Simplify right side
    1,682,258.63x = 13,617,636,005,816.02
  5. Step 5: Solve for x
    x = 13,617,636,005,816.02/1,682,258.63
  6. Step 6: Final answer
    x = 8,094,852.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.