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Finding the Third Proportional to 1,277,256 and 2,128,674

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Solution

The third proportional to 1,277,256 and 2,128,674 is: 3,547,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,256 : 2,128,674 = 2,128,674 : x
  2. Step 2: Convert to fraction form
    1,277,256/2,128,674 = 2,128,674/x
  3. Step 3: Cross multiply
    1,277,256x = 2,128,674 × 2,128,674
  4. Step 4: Simplify right side
    1,277,256x = 4,531,252,998,276
  5. Step 5: Solve for x
    x = 4,531,252,998,276/1,277,256
  6. Step 6: Final answer
    x = 3,547,646.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.