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Finding the Third Proportional to 655,098 and 1,388,937

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Solution

The third proportional to 655,098 and 1,388,937 is: 2,944,820.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,098 : 1,388,937 = 1,388,937 : x
  2. Step 2: Convert to fraction form
    655,098/1,388,937 = 1,388,937/x
  3. Step 3: Cross multiply
    655,098x = 1,388,937 × 1,388,937
  4. Step 4: Simplify right side
    655,098x = 1,929,145,989,969
  5. Step 5: Solve for x
    x = 1,929,145,989,969/655,098
  6. Step 6: Final answer
    x = 2,944,820.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.