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Finding the Third Proportional to 1,196,351.50 and 1,838,875

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Solution

The third proportional to 1,196,351.50 and 1,838,875 is: 2,826,478.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,351.50 : 1,838,875 = 1,838,875 : x
  2. Step 2: Convert to fraction form
    1,196,351.50/1,838,875 = 1,838,875/x
  3. Step 3: Cross multiply
    1,196,351.50x = 1,838,875 × 1,838,875
  4. Step 4: Simplify right side
    1,196,351.50x = 3,381,461,265,625
  5. Step 5: Solve for x
    x = 3,381,461,265,625/1,196,351.50
  6. Step 6: Final answer
    x = 2,826,478.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.