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Finding the Third Proportional to 1,077,699 and 1,569,163

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Solution

The third proportional to 1,077,699 and 1,569,163 is: 2,284,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,699 : 1,569,163 = 1,569,163 : x
  2. Step 2: Convert to fraction form
    1,077,699/1,569,163 = 1,569,163/x
  3. Step 3: Cross multiply
    1,077,699x = 1,569,163 × 1,569,163
  4. Step 4: Simplify right side
    1,077,699x = 2,462,272,520,569
  5. Step 5: Solve for x
    x = 2,462,272,520,569/1,077,699
  6. Step 6: Final answer
    x = 2,284,749.75

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.