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Finding the Third Proportional to 1,638,254 and 2,564,311

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Solution

The third proportional to 1,638,254 and 2,564,311 is: 4,013,840.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,254 : 2,564,311 = 2,564,311 : x
  2. Step 2: Convert to fraction form
    1,638,254/2,564,311 = 2,564,311/x
  3. Step 3: Cross multiply
    1,638,254x = 2,564,311 × 2,564,311
  4. Step 4: Simplify right side
    1,638,254x = 6,575,690,904,721
  5. Step 5: Solve for x
    x = 6,575,690,904,721/1,638,254
  6. Step 6: Final answer
    x = 4,013,840.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.