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Finding the Third Proportional to 512,730 and 1,122,003

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Solution

The third proportional to 512,730 and 1,122,003 is: 2,455,270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,730 : 1,122,003 = 1,122,003 : x
  2. Step 2: Convert to fraction form
    512,730/1,122,003 = 1,122,003/x
  3. Step 3: Cross multiply
    512,730x = 1,122,003 × 1,122,003
  4. Step 4: Simplify right side
    512,730x = 1,258,890,732,009
  5. Step 5: Solve for x
    x = 1,258,890,732,009/512,730
  6. Step 6: Final answer
    x = 2,455,270.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.