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Finding the Third Proportional to 527,004 and 1,171,921

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Solution

The third proportional to 527,004 and 1,171,921 is: 2,606,050.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,004 : 1,171,921 = 1,171,921 : x
  2. Step 2: Convert to fraction form
    527,004/1,171,921 = 1,171,921/x
  3. Step 3: Cross multiply
    527,004x = 1,171,921 × 1,171,921
  4. Step 4: Simplify right side
    527,004x = 1,373,398,830,241
  5. Step 5: Solve for x
    x = 1,373,398,830,241/527,004
  6. Step 6: Final answer
    x = 2,606,050.11

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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.