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Finding the Third Proportional to 905,724 and 1,919,340

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Solution

The third proportional to 905,724 and 1,919,340 is: 4,067,316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,724 : 1,919,340 = 1,919,340 : x
  2. Step 2: Convert to fraction form
    905,724/1,919,340 = 1,919,340/x
  3. Step 3: Cross multiply
    905,724x = 1,919,340 × 1,919,340
  4. Step 4: Simplify right side
    905,724x = 3,683,866,035,600
  5. Step 5: Solve for x
    x = 3,683,866,035,600/905,724
  6. Step 6: Final answer
    x = 4,067,316.35

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.