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Finding the Third Proportional to 760,734 and 1,606,360

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Solution

The third proportional to 760,734 and 1,606,360 is: 3,391,977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,734 : 1,606,360 = 1,606,360 : x
  2. Step 2: Convert to fraction form
    760,734/1,606,360 = 1,606,360/x
  3. Step 3: Cross multiply
    760,734x = 1,606,360 × 1,606,360
  4. Step 4: Simplify right side
    760,734x = 2,580,392,449,600
  5. Step 5: Solve for x
    x = 2,580,392,449,600/760,734
  6. Step 6: Final answer
    x = 3,391,977.29

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.