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Finding the Third Proportional to 1,580,100 and 3,348,438

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Solution

The third proportional to 1,580,100 and 3,348,438 is: 7,095,776.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,100 : 3,348,438 = 3,348,438 : x
  2. Step 2: Convert to fraction form
    1,580,100/3,348,438 = 3,348,438/x
  3. Step 3: Cross multiply
    1,580,100x = 3,348,438 × 3,348,438
  4. Step 4: Simplify right side
    1,580,100x = 11,212,037,039,844
  5. Step 5: Solve for x
    x = 11,212,037,039,844/1,580,100
  6. Step 6: Final answer
    x = 7,095,776.87

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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.