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Finding the Third Proportional to 757,420 and 1,632,928

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Solution

The third proportional to 757,420 and 1,632,928 is: 3,520,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,420 : 1,632,928 = 1,632,928 : x
  2. Step 2: Convert to fraction form
    757,420/1,632,928 = 1,632,928/x
  3. Step 3: Cross multiply
    757,420x = 1,632,928 × 1,632,928
  4. Step 4: Simplify right side
    757,420x = 2,666,453,853,184
  5. Step 5: Solve for x
    x = 2,666,453,853,184/757,420
  6. Step 6: Final answer
    x = 3,520,442.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.