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Finding the Third Proportional to 900,509,400 and 1,345,462,812

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Solution

The third proportional to 900,509,400 and 1,345,462,812 is: 2,010,273,494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,509,400 : 1,345,462,812 = 1,345,462,812 : x
  2. Step 2: Convert to fraction form
    900,509,400/1,345,462,812 = 1,345,462,812/x
  3. Step 3: Cross multiply
    900,509,400x = 1,345,462,812 × 1,345,462,812
  4. Step 4: Simplify right side
    900,509,400x = 1,810,270,178,474,947,328
  5. Step 5: Solve for x
    x = 1,810,270,178,474,947,328/900,509,400
  6. Step 6: Final answer
    x = 2,010,273,494.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.