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Finding the Third Proportional to 1,927,820.25 and 4,187,507.63

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Solution

The third proportional to 1,927,820.25 and 4,187,507.63 is: 9,095,879.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927,820.25 : 4,187,507.63 = 4,187,507.63 : x
  2. Step 2: Convert to fraction form
    1,927,820.25/4,187,507.63 = 4,187,507.63/x
  3. Step 3: Cross multiply
    1,927,820.25x = 4,187,507.63 × 4,187,507.63
  4. Step 4: Simplify right side
    1,927,820.25x = 17,535,220,109,433.14
  5. Step 5: Solve for x
    x = 17,535,220,109,433.14/1,927,820.25
  6. Step 6: Final answer
    x = 9,095,879.20

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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.