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Finding the Third Proportional to 445,209 and 986,457

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Solution

The third proportional to 445,209 and 986,457 is: 2,185,709.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,209 : 986,457 = 986,457 : x
  2. Step 2: Convert to fraction form
    445,209/986,457 = 986,457/x
  3. Step 3: Cross multiply
    445,209x = 986,457 × 986,457
  4. Step 4: Simplify right side
    445,209x = 973,097,412,849
  5. Step 5: Solve for x
    x = 973,097,412,849/445,209
  6. Step 6: Final answer
    x = 2,185,709.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.