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Finding the Third Proportional to 449,661 and 931,017

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Solution

The third proportional to 449,661 and 931,017 is: 1,927,658.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,661 : 931,017 = 931,017 : x
  2. Step 2: Convert to fraction form
    449,661/931,017 = 931,017/x
  3. Step 3: Cross multiply
    449,661x = 931,017 × 931,017
  4. Step 4: Simplify right side
    449,661x = 866,792,654,289
  5. Step 5: Solve for x
    x = 866,792,654,289/449,661
  6. Step 6: Final answer
    x = 1,927,658.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.