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Finding the Third Proportional to 514,092 and 1,115,664

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Solution

The third proportional to 514,092 and 1,115,664 is: 2,421,173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,092 : 1,115,664 = 1,115,664 : x
  2. Step 2: Convert to fraction form
    514,092/1,115,664 = 1,115,664/x
  3. Step 3: Cross multiply
    514,092x = 1,115,664 × 1,115,664
  4. Step 4: Simplify right side
    514,092x = 1,244,706,160,896
  5. Step 5: Solve for x
    x = 1,244,706,160,896/514,092
  6. Step 6: Final answer
    x = 2,421,173.96

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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.