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Finding the Third Proportional to 945,360 and 1,429,293

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Solution

The third proportional to 945,360 and 1,429,293 is: 2,160,952.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,360 : 1,429,293 = 1,429,293 : x
  2. Step 2: Convert to fraction form
    945,360/1,429,293 = 1,429,293/x
  3. Step 3: Cross multiply
    945,360x = 1,429,293 × 1,429,293
  4. Step 4: Simplify right side
    945,360x = 2,042,878,479,849
  5. Step 5: Solve for x
    x = 2,042,878,479,849/945,360
  6. Step 6: Final answer
    x = 2,160,952.95

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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.