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Finding the Third Proportional to 1,825,784 and 3,706,864

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Solution

The third proportional to 1,825,784 and 3,706,864 is: 7,525,994.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825,784 : 3,706,864 = 3,706,864 : x
  2. Step 2: Convert to fraction form
    1,825,784/3,706,864 = 3,706,864/x
  3. Step 3: Cross multiply
    1,825,784x = 3,706,864 × 3,706,864
  4. Step 4: Simplify right side
    1,825,784x = 13,740,840,714,496
  5. Step 5: Solve for x
    x = 13,740,840,714,496/1,825,784
  6. Step 6: Final answer
    x = 7,525,994.70

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.