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Finding the Third Proportional to 817,996 and 1,749,717

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Solution

The third proportional to 817,996 and 1,749,717 is: 3,742,695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,996 : 1,749,717 = 1,749,717 : x
  2. Step 2: Convert to fraction form
    817,996/1,749,717 = 1,749,717/x
  3. Step 3: Cross multiply
    817,996x = 1,749,717 × 1,749,717
  4. Step 4: Simplify right side
    817,996x = 3,061,509,580,089
  5. Step 5: Solve for x
    x = 3,061,509,580,089/817,996
  6. Step 6: Final answer
    x = 3,742,695.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.