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Finding the Third Proportional to 617,635.13 and 986,185.13

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Solution

The third proportional to 617,635.13 and 986,185.13 is: 1,574,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,635.13 : 986,185.13 = 986,185.13 : x
  2. Step 2: Convert to fraction form
    617,635.13/986,185.13 = 986,185.13/x
  3. Step 3: Cross multiply
    617,635.13x = 986,185.13 × 986,185.13
  4. Step 4: Simplify right side
    617,635.13x = 972,561,100,771.27
  5. Step 5: Solve for x
    x = 972,561,100,771.27/617,635.13
  6. Step 6: Final answer
    x = 1,574,653.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.