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Finding the Third Proportional to 492,045 and 1,065,693

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Solution

The third proportional to 492,045 and 1,065,693 is: 2,308,125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,045 : 1,065,693 = 1,065,693 : x
  2. Step 2: Convert to fraction form
    492,045/1,065,693 = 1,065,693/x
  3. Step 3: Cross multiply
    492,045x = 1,065,693 × 1,065,693
  4. Step 4: Simplify right side
    492,045x = 1,135,701,570,249
  5. Step 5: Solve for x
    x = 1,135,701,570,249/492,045
  6. Step 6: Final answer
    x = 2,308,125.42

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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.