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Finding the Third Proportional to 917,408 and 1,417,017

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Solution

The third proportional to 917,408 and 1,417,017 is: 2,188,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,408 : 1,417,017 = 1,417,017 : x
  2. Step 2: Convert to fraction form
    917,408/1,417,017 = 1,417,017/x
  3. Step 3: Cross multiply
    917,408x = 1,417,017 × 1,417,017
  4. Step 4: Simplify right side
    917,408x = 2,007,937,178,289
  5. Step 5: Solve for x
    x = 2,007,937,178,289/917,408
  6. Step 6: Final answer
    x = 2,188,706.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.