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Finding the Third Proportional to 493,735 and 1,062,395

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Solution

The third proportional to 493,735 and 1,062,395 is: 2,286,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,735 : 1,062,395 = 1,062,395 : x
  2. Step 2: Convert to fraction form
    493,735/1,062,395 = 1,062,395/x
  3. Step 3: Cross multiply
    493,735x = 1,062,395 × 1,062,395
  4. Step 4: Simplify right side
    493,735x = 1,128,683,136,025
  5. Step 5: Solve for x
    x = 1,128,683,136,025/493,735
  6. Step 6: Final answer
    x = 2,286,009.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.