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Finding the Third Proportional to 492,043 and 1,065,689

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Solution

The third proportional to 492,043 and 1,065,689 is: 2,308,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,043 : 1,065,689 = 1,065,689 : x
  2. Step 2: Convert to fraction form
    492,043/1,065,689 = 1,065,689/x
  3. Step 3: Cross multiply
    492,043x = 1,065,689 × 1,065,689
  4. Step 4: Simplify right side
    492,043x = 1,135,693,044,721
  5. Step 5: Solve for x
    x = 1,135,693,044,721/492,043
  6. Step 6: Final answer
    x = 2,308,117.47

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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.