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Finding the Third Proportional to 983,464 and 1,482,121

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Solution

The third proportional to 983,464 and 1,482,121 is: 2,233,617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,464 : 1,482,121 = 1,482,121 : x
  2. Step 2: Convert to fraction form
    983,464/1,482,121 = 1,482,121/x
  3. Step 3: Cross multiply
    983,464x = 1,482,121 × 1,482,121
  4. Step 4: Simplify right side
    983,464x = 2,196,682,658,641
  5. Step 5: Solve for x
    x = 2,196,682,658,641/983,464
  6. Step 6: Final answer
    x = 2,233,617.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.