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Finding the Third Proportional to 403,846 and 881,037

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Solution

The third proportional to 403,846 and 881,037 is: 1,922,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,846 : 881,037 = 881,037 : x
  2. Step 2: Convert to fraction form
    403,846/881,037 = 881,037/x
  3. Step 3: Cross multiply
    403,846x = 881,037 × 881,037
  4. Step 4: Simplify right side
    403,846x = 776,226,195,369
  5. Step 5: Solve for x
    x = 776,226,195,369/403,846
  6. Step 6: Final answer
    x = 1,922,084.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.