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Finding the Third Proportional to 1,385,891,462 and 1,882,791,597

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Solution

The third proportional to 1,385,891,462 and 1,882,791,597 is: 2,557,851,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385,891,462 : 1,882,791,597 = 1,882,791,597 : x
  2. Step 2: Convert to fraction form
    1,385,891,462/1,882,791,597 = 1,882,791,597/x
  3. Step 3: Cross multiply
    1,385,891,462x = 1,882,791,597 × 1,882,791,597
  4. Step 4: Simplify right side
    1,385,891,462x = 3,544,904,197,733,810,176
  5. Step 5: Solve for x
    x = 3,544,904,197,733,810,176/1,385,891,462
  6. Step 6: Final answer
    x = 2,557,851,242.27

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.