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Finding the Third Proportional to 409,410 and 881,028

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Solution

The third proportional to 409,410 and 881,028 is: 1,895,924.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,410 : 881,028 = 881,028 : x
  2. Step 2: Convert to fraction form
    409,410/881,028 = 881,028/x
  3. Step 3: Cross multiply
    409,410x = 881,028 × 881,028
  4. Step 4: Simplify right side
    409,410x = 776,210,336,784
  5. Step 5: Solve for x
    x = 776,210,336,784/409,410
  6. Step 6: Final answer
    x = 1,895,924.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.