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Finding the Third Proportional to 611,904 and 1,312,314

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Solution

The third proportional to 611,904 and 1,312,314 is: 2,814,441.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,904 : 1,312,314 = 1,312,314 : x
  2. Step 2: Convert to fraction form
    611,904/1,312,314 = 1,312,314/x
  3. Step 3: Cross multiply
    611,904x = 1,312,314 × 1,312,314
  4. Step 4: Simplify right side
    611,904x = 1,722,168,034,596
  5. Step 5: Solve for x
    x = 1,722,168,034,596/611,904
  6. Step 6: Final answer
    x = 2,814,441.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.