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Finding the Third Proportional to 523,641,226 and 1,139,218,564

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Solution

The third proportional to 523,641,226 and 1,139,218,564 is: 2,478,450,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,641,226 : 1,139,218,564 = 1,139,218,564 : x
  2. Step 2: Convert to fraction form
    523,641,226/1,139,218,564 = 1,139,218,564/x
  3. Step 3: Cross multiply
    523,641,226x = 1,139,218,564 × 1,139,218,564
  4. Step 4: Simplify right side
    523,641,226x = 1,297,818,936,562,222,080
  5. Step 5: Solve for x
    x = 1,297,818,936,562,222,080/523,641,226
  6. Step 6: Final answer
    x = 2,478,450,649.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.