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Finding the Third Proportional to 761,706 and 1,780,161

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Solution

The third proportional to 761,706 and 1,780,161 is: 4,160,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,706 : 1,780,161 = 1,780,161 : x
  2. Step 2: Convert to fraction form
    761,706/1,780,161 = 1,780,161/x
  3. Step 3: Cross multiply
    761,706x = 1,780,161 × 1,780,161
  4. Step 4: Simplify right side
    761,706x = 3,168,973,185,921
  5. Step 5: Solve for x
    x = 3,168,973,185,921/761,706
  6. Step 6: Final answer
    x = 4,160,362.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.