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Finding the Third Proportional to 504,938 and 1,095,711

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Solution

The third proportional to 504,938 and 1,095,711 is: 2,377,683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,938 : 1,095,711 = 1,095,711 : x
  2. Step 2: Convert to fraction form
    504,938/1,095,711 = 1,095,711/x
  3. Step 3: Cross multiply
    504,938x = 1,095,711 × 1,095,711
  4. Step 4: Simplify right side
    504,938x = 1,200,582,595,521
  5. Step 5: Solve for x
    x = 1,200,582,595,521/504,938
  6. Step 6: Final answer
    x = 2,377,683.19

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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.