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Finding the Third Proportional to 810,572 and 1,876,498

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Solution

The third proportional to 810,572 and 1,876,498 is: 4,344,148.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,572 : 1,876,498 = 1,876,498 : x
  2. Step 2: Convert to fraction form
    810,572/1,876,498 = 1,876,498/x
  3. Step 3: Cross multiply
    810,572x = 1,876,498 × 1,876,498
  4. Step 4: Simplify right side
    810,572x = 3,521,244,744,004
  5. Step 5: Solve for x
    x = 3,521,244,744,004/810,572
  6. Step 6: Final answer
    x = 4,344,148.01

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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.