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Finding the Third Proportional to 507,614 and 1,128,696

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Solution

The third proportional to 507,614 and 1,128,696 is: 2,509,691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,614 : 1,128,696 = 1,128,696 : x
  2. Step 2: Convert to fraction form
    507,614/1,128,696 = 1,128,696/x
  3. Step 3: Cross multiply
    507,614x = 1,128,696 × 1,128,696
  4. Step 4: Simplify right side
    507,614x = 1,273,954,660,416
  5. Step 5: Solve for x
    x = 1,273,954,660,416/507,614
  6. Step 6: Final answer
    x = 2,509,691.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.