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Finding the Third Proportional to 945,354 and 1,429,286.25

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Solution

The third proportional to 945,354 and 1,429,286.25 is: 2,160,946.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,354 : 1,429,286.25 = 1,429,286.25 : x
  2. Step 2: Convert to fraction form
    945,354/1,429,286.25 = 1,429,286.25/x
  3. Step 3: Cross multiply
    945,354x = 1,429,286.25 × 1,429,286.25
  4. Step 4: Simplify right side
    945,354x = 2,042,859,184,439.06
  5. Step 5: Solve for x
    x = 2,042,859,184,439.06/945,354
  6. Step 6: Final answer
    x = 2,160,946.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.