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Finding the Third Proportional to 452,065 and 967,047

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Solution

The third proportional to 452,065 and 967,047 is: 2,068,684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,065 : 967,047 = 967,047 : x
  2. Step 2: Convert to fraction form
    452,065/967,047 = 967,047/x
  3. Step 3: Cross multiply
    452,065x = 967,047 × 967,047
  4. Step 4: Simplify right side
    452,065x = 935,179,900,209
  5. Step 5: Solve for x
    x = 935,179,900,209/452,065
  6. Step 6: Final answer
    x = 2,068,684.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.