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Finding the Third Proportional to 1,566,784 and 3,226,304

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Solution

The third proportional to 1,566,784 and 3,226,304 is: 6,643,568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566,784 : 3,226,304 = 3,226,304 : x
  2. Step 2: Convert to fraction form
    1,566,784/3,226,304 = 3,226,304/x
  3. Step 3: Cross multiply
    1,566,784x = 3,226,304 × 3,226,304
  4. Step 4: Simplify right side
    1,566,784x = 10,409,037,500,416
  5. Step 5: Solve for x
    x = 10,409,037,500,416/1,566,784
  6. Step 6: Final answer
    x = 6,643,568.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.