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Finding the Third Proportional to 678,968 and 1,488,507

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Solution

The third proportional to 678,968 and 1,488,507 is: 3,263,265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,968 : 1,488,507 = 1,488,507 : x
  2. Step 2: Convert to fraction form
    678,968/1,488,507 = 1,488,507/x
  3. Step 3: Cross multiply
    678,968x = 1,488,507 × 1,488,507
  4. Step 4: Simplify right side
    678,968x = 2,215,653,089,049
  5. Step 5: Solve for x
    x = 2,215,653,089,049/678,968
  6. Step 6: Final answer
    x = 3,263,265.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.