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Finding the Third Proportional to 954,880 and 1,292,256

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Solution

The third proportional to 954,880 and 1,292,256 is: 1,748,832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,880 : 1,292,256 = 1,292,256 : x
  2. Step 2: Convert to fraction form
    954,880/1,292,256 = 1,292,256/x
  3. Step 3: Cross multiply
    954,880x = 1,292,256 × 1,292,256
  4. Step 4: Simplify right side
    954,880x = 1,669,925,569,536
  5. Step 5: Solve for x
    x = 1,669,925,569,536/954,880
  6. Step 6: Final answer
    x = 1,748,832.91

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Why These Related Problems?

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