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Finding the Third Proportional to 1,057,210 and 1,610,599

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Solution

The third proportional to 1,057,210 and 1,610,599 is: 2,453,655.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,210 : 1,610,599 = 1,610,599 : x
  2. Step 2: Convert to fraction form
    1,057,210/1,610,599 = 1,610,599/x
  3. Step 3: Cross multiply
    1,057,210x = 1,610,599 × 1,610,599
  4. Step 4: Simplify right side
    1,057,210x = 2,594,029,138,801
  5. Step 5: Solve for x
    x = 2,594,029,138,801/1,057,210
  6. Step 6: Final answer
    x = 2,453,655.51

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