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Finding the Third Proportional to 1,118,032 and 1,580,496

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Solution

The third proportional to 1,118,032 and 1,580,496 is: 2,234,254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118,032 : 1,580,496 = 1,580,496 : x
  2. Step 2: Convert to fraction form
    1,118,032/1,580,496 = 1,580,496/x
  3. Step 3: Cross multiply
    1,118,032x = 1,580,496 × 1,580,496
  4. Step 4: Simplify right side
    1,118,032x = 2,497,967,606,016
  5. Step 5: Solve for x
    x = 2,497,967,606,016/1,118,032
  6. Step 6: Final answer
    x = 2,234,254.12

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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.