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Finding the Third Proportional to 592,528 and 1,278,144

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Solution

The third proportional to 592,528 and 1,278,144 is: 2,757,088.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,528 : 1,278,144 = 1,278,144 : x
  2. Step 2: Convert to fraction form
    592,528/1,278,144 = 1,278,144/x
  3. Step 3: Cross multiply
    592,528x = 1,278,144 × 1,278,144
  4. Step 4: Simplify right side
    592,528x = 1,633,652,084,736
  5. Step 5: Solve for x
    x = 1,633,652,084,736/592,528
  6. Step 6: Final answer
    x = 2,757,088.42

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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.