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Finding the Third Proportional to 913,742 and 1,963,564

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Solution

The third proportional to 913,742 and 1,963,564 is: 4,219,553.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,742 : 1,963,564 = 1,963,564 : x
  2. Step 2: Convert to fraction form
    913,742/1,963,564 = 1,963,564/x
  3. Step 3: Cross multiply
    913,742x = 1,963,564 × 1,963,564
  4. Step 4: Simplify right side
    913,742x = 3,855,583,582,096
  5. Step 5: Solve for x
    x = 3,855,583,582,096/913,742
  6. Step 6: Final answer
    x = 4,219,553.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.