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Finding the Third Proportional to 983,396 and 1,518,767

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Solution

The third proportional to 983,396 and 1,518,767 is: 2,345,599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,396 : 1,518,767 = 1,518,767 : x
  2. Step 2: Convert to fraction form
    983,396/1,518,767 = 1,518,767/x
  3. Step 3: Cross multiply
    983,396x = 1,518,767 × 1,518,767
  4. Step 4: Simplify right side
    983,396x = 2,306,653,200,289
  5. Step 5: Solve for x
    x = 2,306,653,200,289/983,396
  6. Step 6: Final answer
    x = 2,345,599.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.