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Finding the Third Proportional to 527,000 and 1,171,904

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Solution

The third proportional to 527,000 and 1,171,904 is: 2,605,994.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,000 : 1,171,904 = 1,171,904 : x
  2. Step 2: Convert to fraction form
    527,000/1,171,904 = 1,171,904/x
  3. Step 3: Cross multiply
    527,000x = 1,171,904 × 1,171,904
  4. Step 4: Simplify right side
    527,000x = 1,373,358,985,216
  5. Step 5: Solve for x
    x = 1,373,358,985,216/527,000
  6. Step 6: Final answer
    x = 2,605,994.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.