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Finding the Third Proportional to 776,209 and 1,246,317

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Solution

The third proportional to 776,209 and 1,246,317 is: 2,001,144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,209 : 1,246,317 = 1,246,317 : x
  2. Step 2: Convert to fraction form
    776,209/1,246,317 = 1,246,317/x
  3. Step 3: Cross multiply
    776,209x = 1,246,317 × 1,246,317
  4. Step 4: Simplify right side
    776,209x = 1,553,306,064,489
  5. Step 5: Solve for x
    x = 1,553,306,064,489/776,209
  6. Step 6: Final answer
    x = 2,001,144.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.