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Finding the Third Proportional to 622,264 and 1,357,155

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Solution

The third proportional to 622,264 and 1,357,155 is: 2,959,948.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,264 : 1,357,155 = 1,357,155 : x
  2. Step 2: Convert to fraction form
    622,264/1,357,155 = 1,357,155/x
  3. Step 3: Cross multiply
    622,264x = 1,357,155 × 1,357,155
  4. Step 4: Simplify right side
    622,264x = 1,841,869,694,025
  5. Step 5: Solve for x
    x = 1,841,869,694,025/622,264
  6. Step 6: Final answer
    x = 2,959,948.98

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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.