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Finding the Third Proportional to 538,937,228 and 1,169,349,025

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Solution

The third proportional to 538,937,228 and 1,169,349,025 is: 2,537,173,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,937,228 : 1,169,349,025 = 1,169,349,025 : x
  2. Step 2: Convert to fraction form
    538,937,228/1,169,349,025 = 1,169,349,025/x
  3. Step 3: Cross multiply
    538,937,228x = 1,169,349,025 × 1,169,349,025
  4. Step 4: Simplify right side
    538,937,228x = 1,367,377,142,268,450,560
  5. Step 5: Solve for x
    x = 1,367,377,142,268,450,560/538,937,228
  6. Step 6: Final answer
    x = 2,537,173,294.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.