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Finding the Third Proportional to 668,206 and 1,036,259

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Solution

The third proportional to 668,206 and 1,036,259 is: 1,607,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,206 : 1,036,259 = 1,036,259 : x
  2. Step 2: Convert to fraction form
    668,206/1,036,259 = 1,036,259/x
  3. Step 3: Cross multiply
    668,206x = 1,036,259 × 1,036,259
  4. Step 4: Simplify right side
    668,206x = 1,073,832,715,081
  5. Step 5: Solve for x
    x = 1,073,832,715,081/668,206
  6. Step 6: Final answer
    x = 1,607,038.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.