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Finding the Third Proportional to 492,039 and 1,065,681

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Solution

The third proportional to 492,039 and 1,065,681 is: 2,308,101.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,039 : 1,065,681 = 1,065,681 : x
  2. Step 2: Convert to fraction form
    492,039/1,065,681 = 1,065,681/x
  3. Step 3: Cross multiply
    492,039x = 1,065,681 × 1,065,681
  4. Step 4: Simplify right side
    492,039x = 1,135,675,993,761
  5. Step 5: Solve for x
    x = 1,135,675,993,761/492,039
  6. Step 6: Final answer
    x = 2,308,101.58

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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.