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Finding the Third Proportional to 760,504 and 1,652,392

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Solution

The third proportional to 760,504 and 1,652,392 is: 3,590,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,504 : 1,652,392 = 1,652,392 : x
  2. Step 2: Convert to fraction form
    760,504/1,652,392 = 1,652,392/x
  3. Step 3: Cross multiply
    760,504x = 1,652,392 × 1,652,392
  4. Step 4: Simplify right side
    760,504x = 2,730,399,321,664
  5. Step 5: Solve for x
    x = 2,730,399,321,664/760,504
  6. Step 6: Final answer
    x = 3,590,249.78

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Why These Related Problems?

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