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Finding the Third Proportional to 810,512 and 1,876,348

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Solution

The third proportional to 810,512 and 1,876,348 is: 4,343,775.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,512 : 1,876,348 = 1,876,348 : x
  2. Step 2: Convert to fraction form
    810,512/1,876,348 = 1,876,348/x
  3. Step 3: Cross multiply
    810,512x = 1,876,348 × 1,876,348
  4. Step 4: Simplify right side
    810,512x = 3,520,681,817,104
  5. Step 5: Solve for x
    x = 3,520,681,817,104/810,512
  6. Step 6: Final answer
    x = 4,343,775.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.