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Finding the Third Proportional to 455,238,937 and 1,074,295,994

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Solution

The third proportional to 455,238,937 and 1,074,295,994 is: 2,535,178,318.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,238,937 : 1,074,295,994 = 1,074,295,994 : x
  2. Step 2: Convert to fraction form
    455,238,937/1,074,295,994 = 1,074,295,994/x
  3. Step 3: Cross multiply
    455,238,937x = 1,074,295,994 × 1,074,295,994
  4. Step 4: Simplify right side
    455,238,937x = 1,154,111,882,724,448,000
  5. Step 5: Solve for x
    x = 1,154,111,882,724,448,000/455,238,937
  6. Step 6: Final answer
    x = 2,535,178,318.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.