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Finding the Third Proportional to 968,820 and 1,512,097

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Solution

The third proportional to 968,820 and 1,512,097 is: 2,360,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,820 : 1,512,097 = 1,512,097 : x
  2. Step 2: Convert to fraction form
    968,820/1,512,097 = 1,512,097/x
  3. Step 3: Cross multiply
    968,820x = 1,512,097 × 1,512,097
  4. Step 4: Simplify right side
    968,820x = 2,286,437,337,409
  5. Step 5: Solve for x
    x = 2,286,437,337,409/968,820
  6. Step 6: Final answer
    x = 2,360,022.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.