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Finding the Third Proportional to 452,250 and 983,106

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Solution

The third proportional to 452,250 and 983,106 is: 2,137,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,250 : 983,106 = 983,106 : x
  2. Step 2: Convert to fraction form
    452,250/983,106 = 983,106/x
  3. Step 3: Cross multiply
    452,250x = 983,106 × 983,106
  4. Step 4: Simplify right side
    452,250x = 966,497,407,236
  5. Step 5: Solve for x
    x = 966,497,407,236/452,250
  6. Step 6: Final answer
    x = 2,137,086.58

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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.