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Finding the Third Proportional to 1,117,977 and 1,580,409

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Solution

The third proportional to 1,117,977 and 1,580,409 is: 2,234,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117,977 : 1,580,409 = 1,580,409 : x
  2. Step 2: Convert to fraction form
    1,117,977/1,580,409 = 1,580,409/x
  3. Step 3: Cross multiply
    1,117,977x = 1,580,409 × 1,580,409
  4. Step 4: Simplify right side
    1,117,977x = 2,497,692,607,281
  5. Step 5: Solve for x
    x = 2,497,692,607,281/1,117,977
  6. Step 6: Final answer
    x = 2,234,118.06

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