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Finding the Third Proportional to 370,102 and 806,786

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Solution

The third proportional to 370,102 and 806,786 is: 1,758,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,102 : 806,786 = 806,786 : x
  2. Step 2: Convert to fraction form
    370,102/806,786 = 806,786/x
  3. Step 3: Cross multiply
    370,102x = 806,786 × 806,786
  4. Step 4: Simplify right side
    370,102x = 650,903,649,796
  5. Step 5: Solve for x
    x = 650,903,649,796/370,102
  6. Step 6: Final answer
    x = 1,758,714.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.