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Finding the Third Proportional to 514,938 and 1,115,640

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Solution

The third proportional to 514,938 and 1,115,640 is: 2,417,092.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,938 : 1,115,640 = 1,115,640 : x
  2. Step 2: Convert to fraction form
    514,938/1,115,640 = 1,115,640/x
  3. Step 3: Cross multiply
    514,938x = 1,115,640 × 1,115,640
  4. Step 4: Simplify right side
    514,938x = 1,244,652,609,600
  5. Step 5: Solve for x
    x = 1,244,652,609,600/514,938
  6. Step 6: Final answer
    x = 2,417,092.17

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Why These Related Problems?

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