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Finding the Third Proportional to 1,027,570 and 1,581,369

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Solution

The third proportional to 1,027,570 and 1,581,369 is: 2,433,632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,570 : 1,581,369 = 1,581,369 : x
  2. Step 2: Convert to fraction form
    1,027,570/1,581,369 = 1,581,369/x
  3. Step 3: Cross multiply
    1,027,570x = 1,581,369 × 1,581,369
  4. Step 4: Simplify right side
    1,027,570x = 2,500,727,914,161
  5. Step 5: Solve for x
    x = 2,500,727,914,161/1,027,570
  6. Step 6: Final answer
    x = 2,433,632.66

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.