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Finding the Third Proportional to 452,218 and 983,168

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Solution

The third proportional to 452,218 and 983,168 is: 2,137,507.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,218 : 983,168 = 983,168 : x
  2. Step 2: Convert to fraction form
    452,218/983,168 = 983,168/x
  3. Step 3: Cross multiply
    452,218x = 983,168 × 983,168
  4. Step 4: Simplify right side
    452,218x = 966,619,316,224
  5. Step 5: Solve for x
    x = 966,619,316,224/452,218
  6. Step 6: Final answer
    x = 2,137,507.39

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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.