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Finding the Third Proportional to 1,166,668 and 1,569,210

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Solution

The third proportional to 1,166,668 and 1,569,210 is: 2,110,643.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166,668 : 1,569,210 = 1,569,210 : x
  2. Step 2: Convert to fraction form
    1,166,668/1,569,210 = 1,569,210/x
  3. Step 3: Cross multiply
    1,166,668x = 1,569,210 × 1,569,210
  4. Step 4: Simplify right side
    1,166,668x = 2,462,420,024,100
  5. Step 5: Solve for x
    x = 2,462,420,024,100/1,166,668
  6. Step 6: Final answer
    x = 2,110,643.32

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.