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Finding the Third Proportional to 454,088 and 986,768

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Solution

The third proportional to 454,088 and 986,768 is: 2,144,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,088 : 986,768 = 986,768 : x
  2. Step 2: Convert to fraction form
    454,088/986,768 = 986,768/x
  3. Step 3: Cross multiply
    454,088x = 986,768 × 986,768
  4. Step 4: Simplify right side
    454,088x = 973,711,085,824
  5. Step 5: Solve for x
    x = 973,711,085,824/454,088
  6. Step 6: Final answer
    x = 2,144,322.43

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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.