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Finding the Third Proportional to 877,376 and 1,823,648

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Solution

The third proportional to 877,376 and 1,823,648 is: 3,790,498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,376 : 1,823,648 = 1,823,648 : x
  2. Step 2: Convert to fraction form
    877,376/1,823,648 = 1,823,648/x
  3. Step 3: Cross multiply
    877,376x = 1,823,648 × 1,823,648
  4. Step 4: Simplify right side
    877,376x = 3,325,692,027,904
  5. Step 5: Solve for x
    x = 3,325,692,027,904/877,376
  6. Step 6: Final answer
    x = 3,790,498.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.