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Finding the Third Proportional to 487,916 and 1,057,282

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Solution

The third proportional to 487,916 and 1,057,282 is: 2,291,060.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,916 : 1,057,282 = 1,057,282 : x
  2. Step 2: Convert to fraction form
    487,916/1,057,282 = 1,057,282/x
  3. Step 3: Cross multiply
    487,916x = 1,057,282 × 1,057,282
  4. Step 4: Simplify right side
    487,916x = 1,117,845,227,524
  5. Step 5: Solve for x
    x = 1,117,845,227,524/487,916
  6. Step 6: Final answer
    x = 2,291,060.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.