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Finding the Third Proportional to 1,220,913 and 1,796,104.13

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Solution

The third proportional to 1,220,913 and 1,796,104.13 is: 2,642,276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220,913 : 1,796,104.13 = 1,796,104.13 : x
  2. Step 2: Convert to fraction form
    1,220,913/1,796,104.13 = 1,796,104.13/x
  3. Step 3: Cross multiply
    1,220,913x = 1,796,104.13 × 1,796,104.13
  4. Step 4: Simplify right side
    1,220,913x = 3,225,990,027,842.02
  5. Step 5: Solve for x
    x = 3,225,990,027,842.02/1,220,913
  6. Step 6: Final answer
    x = 2,642,276.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.