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Finding the Third Proportional to 775,076 and 1,662,265

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Solution

The third proportional to 775,076 and 1,662,265 is: 3,564,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,076 : 1,662,265 = 1,662,265 : x
  2. Step 2: Convert to fraction form
    775,076/1,662,265 = 1,662,265/x
  3. Step 3: Cross multiply
    775,076x = 1,662,265 × 1,662,265
  4. Step 4: Simplify right side
    775,076x = 2,763,124,930,225
  5. Step 5: Solve for x
    x = 2,763,124,930,225/775,076
  6. Step 6: Final answer
    x = 3,564,972.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.