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Finding the Third Proportional to 456,640.03 and 986,450.91

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Solution

The third proportional to 456,640.03 and 986,450.91 is: 2,130,968.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,640.03 : 986,450.91 = 986,450.91 : x
  2. Step 2: Convert to fraction form
    456,640.03/986,450.91 = 986,450.91/x
  3. Step 3: Cross multiply
    456,640.03x = 986,450.91 × 986,450.91
  4. Step 4: Simplify right side
    456,640.03x = 973,085,390,441.45
  5. Step 5: Solve for x
    x = 973,085,390,441.45/456,640.03
  6. Step 6: Final answer
    x = 2,130,968.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.