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Finding the Third Proportional to 868,460 and 1,885,462

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Solution

The third proportional to 868,460 and 1,885,462 is: 4,093,414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,460 : 1,885,462 = 1,885,462 : x
  2. Step 2: Convert to fraction form
    868,460/1,885,462 = 1,885,462/x
  3. Step 3: Cross multiply
    868,460x = 1,885,462 × 1,885,462
  4. Step 4: Simplify right side
    868,460x = 3,554,966,953,444
  5. Step 5: Solve for x
    x = 3,554,966,953,444/868,460
  6. Step 6: Final answer
    x = 4,093,414.73

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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.