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Finding the Third Proportional to 1,196,597,808 and 1,838,120,742

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Solution

The third proportional to 1,196,597,808 and 1,838,120,742 is: 2,823,578,515.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,597,808 : 1,838,120,742 = 1,838,120,742 : x
  2. Step 2: Convert to fraction form
    1,196,597,808/1,838,120,742 = 1,838,120,742/x
  3. Step 3: Cross multiply
    1,196,597,808x = 1,838,120,742 × 1,838,120,742
  4. Step 4: Simplify right side
    1,196,597,808x = 3,378,687,862,170,630,656
  5. Step 5: Solve for x
    x = 3,378,687,862,170,630,656/1,196,597,808
  6. Step 6: Final answer
    x = 2,823,578,515.34

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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.