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Finding the Third Proportional to 1,569,366.14 and 2,221,264.27

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Solution

The third proportional to 1,569,366.14 and 2,221,264.27 is: 3,143,953.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,366.14 : 2,221,264.27 = 2,221,264.27 : x
  2. Step 2: Convert to fraction form
    1,569,366.14/2,221,264.27 = 2,221,264.27/x
  3. Step 3: Cross multiply
    1,569,366.14x = 2,221,264.27 × 2,221,264.27
  4. Step 4: Simplify right side
    1,569,366.14x = 4,934,014,937,742.57
  5. Step 5: Solve for x
    x = 4,934,014,937,742.57/1,569,366.14
  6. Step 6: Final answer
    x = 3,143,953.99

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.