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Finding the Third Proportional to 659,052 and 986,310

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Solution

The third proportional to 659,052 and 986,310 is: 1,476,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,052 : 986,310 = 986,310 : x
  2. Step 2: Convert to fraction form
    659,052/986,310 = 986,310/x
  3. Step 3: Cross multiply
    659,052x = 986,310 × 986,310
  4. Step 4: Simplify right side
    659,052x = 972,807,416,100
  5. Step 5: Solve for x
    x = 972,807,416,100/659,052
  6. Step 6: Final answer
    x = 1,476,070.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.