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Finding the Third Proportional to 507,705 and 1,102,942

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Solution

The third proportional to 507,705 and 1,102,942 is: 2,396,039.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,705 : 1,102,942 = 1,102,942 : x
  2. Step 2: Convert to fraction form
    507,705/1,102,942 = 1,102,942/x
  3. Step 3: Cross multiply
    507,705x = 1,102,942 × 1,102,942
  4. Step 4: Simplify right side
    507,705x = 1,216,481,055,364
  5. Step 5: Solve for x
    x = 1,216,481,055,364/507,705
  6. Step 6: Final answer
    x = 2,396,039.15

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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.