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Finding the Third Proportional to 873,459 and 1,851,894

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Solution

The third proportional to 873,459 and 1,851,894 is: 3,926,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,459 : 1,851,894 = 1,851,894 : x
  2. Step 2: Convert to fraction form
    873,459/1,851,894 = 1,851,894/x
  3. Step 3: Cross multiply
    873,459x = 1,851,894 × 1,851,894
  4. Step 4: Simplify right side
    873,459x = 3,429,511,387,236
  5. Step 5: Solve for x
    x = 3,429,511,387,236/873,459
  6. Step 6: Final answer
    x = 3,926,356.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.