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Finding the Third Proportional to 1,090,486 and 1,655,349

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Solution

The third proportional to 1,090,486 and 1,655,349 is: 2,512,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090,486 : 1,655,349 = 1,655,349 : x
  2. Step 2: Convert to fraction form
    1,090,486/1,655,349 = 1,655,349/x
  3. Step 3: Cross multiply
    1,090,486x = 1,655,349 × 1,655,349
  4. Step 4: Simplify right side
    1,090,486x = 2,740,180,311,801
  5. Step 5: Solve for x
    x = 2,740,180,311,801/1,090,486
  6. Step 6: Final answer
    x = 2,512,806.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.