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Finding the Third Proportional to 766,833 and 1,660,596

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Solution

The third proportional to 766,833 and 1,660,596 is: 3,596,062.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,833 : 1,660,596 = 1,660,596 : x
  2. Step 2: Convert to fraction form
    766,833/1,660,596 = 1,660,596/x
  3. Step 3: Cross multiply
    766,833x = 1,660,596 × 1,660,596
  4. Step 4: Simplify right side
    766,833x = 2,757,579,075,216
  5. Step 5: Solve for x
    x = 2,757,579,075,216/766,833
  6. Step 6: Final answer
    x = 3,596,062.08

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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.