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Finding the Third Proportional to 986,634 and 1,475,987

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Solution

The third proportional to 986,634 and 1,475,987 is: 2,208,050.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,634 : 1,475,987 = 1,475,987 : x
  2. Step 2: Convert to fraction form
    986,634/1,475,987 = 1,475,987/x
  3. Step 3: Cross multiply
    986,634x = 1,475,987 × 1,475,987
  4. Step 4: Simplify right side
    986,634x = 2,178,537,624,169
  5. Step 5: Solve for x
    x = 2,178,537,624,169/986,634
  6. Step 6: Final answer
    x = 2,208,050.43

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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.