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Finding the Third Proportional to 622,352 and 1,267,532

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Solution

The third proportional to 622,352 and 1,267,532 is: 2,581,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,352 : 1,267,532 = 1,267,532 : x
  2. Step 2: Convert to fraction form
    622,352/1,267,532 = 1,267,532/x
  3. Step 3: Cross multiply
    622,352x = 1,267,532 × 1,267,532
  4. Step 4: Simplify right side
    622,352x = 1,606,637,371,024
  5. Step 5: Solve for x
    x = 1,606,637,371,024/622,352
  6. Step 6: Final answer
    x = 2,581,557.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.