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Finding the Third Proportional to 706,756 and 1,537,928

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Solution

The third proportional to 706,756 and 1,537,928 is: 3,346,589.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,756 : 1,537,928 = 1,537,928 : x
  2. Step 2: Convert to fraction form
    706,756/1,537,928 = 1,537,928/x
  3. Step 3: Cross multiply
    706,756x = 1,537,928 × 1,537,928
  4. Step 4: Simplify right side
    706,756x = 2,365,222,533,184
  5. Step 5: Solve for x
    x = 2,365,222,533,184/706,756
  6. Step 6: Final answer
    x = 3,346,589.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.