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Finding the Third Proportional to 810,516 and 1,876,358

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Solution

The third proportional to 810,516 and 1,876,358 is: 4,343,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,516 : 1,876,358 = 1,876,358 : x
  2. Step 2: Convert to fraction form
    810,516/1,876,358 = 1,876,358/x
  3. Step 3: Cross multiply
    810,516x = 1,876,358 × 1,876,358
  4. Step 4: Simplify right side
    810,516x = 3,520,719,344,164
  5. Step 5: Solve for x
    x = 3,520,719,344,164/810,516
  6. Step 6: Final answer
    x = 4,343,799.93

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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.