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Finding the Third Proportional to 760,437 and 1,652,256

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Solution

The third proportional to 760,437 and 1,652,256 is: 3,589,975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,437 : 1,652,256 = 1,652,256 : x
  2. Step 2: Convert to fraction form
    760,437/1,652,256 = 1,652,256/x
  3. Step 3: Cross multiply
    760,437x = 1,652,256 × 1,652,256
  4. Step 4: Simplify right side
    760,437x = 2,729,949,889,536
  5. Step 5: Solve for x
    x = 2,729,949,889,536/760,437
  6. Step 6: Final answer
    x = 3,589,975.09

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