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Finding the Third Proportional to 454,089 and 986,778

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Solution

The third proportional to 454,089 and 986,778 is: 2,144,361.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,089 : 986,778 = 986,778 : x
  2. Step 2: Convert to fraction form
    454,089/986,778 = 986,778/x
  3. Step 3: Cross multiply
    454,089x = 986,778 × 986,778
  4. Step 4: Simplify right side
    454,089x = 973,730,821,284
  5. Step 5: Solve for x
    x = 973,730,821,284/454,089
  6. Step 6: Final answer
    x = 2,144,361.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.