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Finding the Third Proportional to 537,634,800 and 844,787,394

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Solution

The third proportional to 537,634,800 and 844,787,394 is: 1,327,417,312.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,634,800 : 844,787,394 = 844,787,394 : x
  2. Step 2: Convert to fraction form
    537,634,800/844,787,394 = 844,787,394/x
  3. Step 3: Cross multiply
    537,634,800x = 844,787,394 × 844,787,394
  4. Step 4: Simplify right side
    537,634,800x = 713,665,741,061,311,232
  5. Step 5: Solve for x
    x = 713,665,741,061,311,232/537,634,800
  6. Step 6: Final answer
    x = 1,327,417,312.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.