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Finding the Third Proportional to 1,285,439,155 and 1,810,181,586

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Solution

The third proportional to 1,285,439,155 and 1,810,181,586 is: 2,549,134,559.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,439,155 : 1,810,181,586 = 1,810,181,586 : x
  2. Step 2: Convert to fraction form
    1,285,439,155/1,810,181,586 = 1,810,181,586/x
  3. Step 3: Cross multiply
    1,285,439,155x = 1,810,181,586 × 1,810,181,586
  4. Step 4: Simplify right side
    1,285,439,155x = 3,276,757,374,293,475,328
  5. Step 5: Solve for x
    x = 3,276,757,374,293,475,328/1,285,439,155
  6. Step 6: Final answer
    x = 2,549,134,559.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.