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Finding the Third Proportional to 770,258.95 and 1,662,306.47

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Solution

The third proportional to 770,258.95 and 1,662,306.47 is: 3,587,446.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,258.95 : 1,662,306.47 = 1,662,306.47 : x
  2. Step 2: Convert to fraction form
    770,258.95/1,662,306.47 = 1,662,306.47/x
  3. Step 3: Cross multiply
    770,258.95x = 1,662,306.47 × 1,662,306.47
  4. Step 4: Simplify right side
    770,258.95x = 2,763,262,796,048.09
  5. Step 5: Solve for x
    x = 2,763,262,796,048.09/770,258.95
  6. Step 6: Final answer
    x = 3,587,446.51

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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.