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Finding the Third Proportional to 773,106 and 1,566,987

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Solution

The third proportional to 773,106 and 1,566,987 is: 3,176,082.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,106 : 1,566,987 = 1,566,987 : x
  2. Step 2: Convert to fraction form
    773,106/1,566,987 = 1,566,987/x
  3. Step 3: Cross multiply
    773,106x = 1,566,987 × 1,566,987
  4. Step 4: Simplify right side
    773,106x = 2,455,448,258,169
  5. Step 5: Solve for x
    x = 2,455,448,258,169/773,106
  6. Step 6: Final answer
    x = 3,176,082.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.