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Finding the Third Proportional to 615,544 and 983,344

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Solution

The third proportional to 615,544 and 983,344 is: 1,570,911.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,544 : 983,344 = 983,344 : x
  2. Step 2: Convert to fraction form
    615,544/983,344 = 983,344/x
  3. Step 3: Cross multiply
    615,544x = 983,344 × 983,344
  4. Step 4: Simplify right side
    615,544x = 966,965,422,336
  5. Step 5: Solve for x
    x = 966,965,422,336/615,544
  6. Step 6: Final answer
    x = 1,570,911.95

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.