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Finding the Third Proportional to 810,506 and 1,876,334

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Solution

The third proportional to 810,506 and 1,876,334 is: 4,343,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,506 : 1,876,334 = 1,876,334 : x
  2. Step 2: Convert to fraction form
    810,506/1,876,334 = 1,876,334/x
  3. Step 3: Cross multiply
    810,506x = 1,876,334 × 1,876,334
  4. Step 4: Simplify right side
    810,506x = 3,520,629,279,556
  5. Step 5: Solve for x
    x = 3,520,629,279,556/810,506
  6. Step 6: Final answer
    x = 4,343,742.40

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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.