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Finding the Third Proportional to 761,220 and 1,185,408

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Solution

The third proportional to 761,220 and 1,185,408 is: 1,845,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,220 : 1,185,408 = 1,185,408 : x
  2. Step 2: Convert to fraction form
    761,220/1,185,408 = 1,185,408/x
  3. Step 3: Cross multiply
    761,220x = 1,185,408 × 1,185,408
  4. Step 4: Simplify right side
    761,220x = 1,405,192,126,464
  5. Step 5: Solve for x
    x = 1,405,192,126,464/761,220
  6. Step 6: Final answer
    x = 1,845,973.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.