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Finding the Third Proportional to 1,419,531 and 3,078,642

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Solution

The third proportional to 1,419,531 and 3,078,642 is: 6,676,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,531 : 3,078,642 = 3,078,642 : x
  2. Step 2: Convert to fraction form
    1,419,531/3,078,642 = 3,078,642/x
  3. Step 3: Cross multiply
    1,419,531x = 3,078,642 × 3,078,642
  4. Step 4: Simplify right side
    1,419,531x = 9,478,036,564,164
  5. Step 5: Solve for x
    x = 9,478,036,564,164/1,419,531
  6. Step 6: Final answer
    x = 6,676,878.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.