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Finding the Third Proportional to 527,804 and 1,173,384

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Solution

The third proportional to 527,804 and 1,173,384 is: 2,608,600.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,804 : 1,173,384 = 1,173,384 : x
  2. Step 2: Convert to fraction form
    527,804/1,173,384 = 1,173,384/x
  3. Step 3: Cross multiply
    527,804x = 1,173,384 × 1,173,384
  4. Step 4: Simplify right side
    527,804x = 1,376,830,011,456
  5. Step 5: Solve for x
    x = 1,376,830,011,456/527,804
  6. Step 6: Final answer
    x = 2,608,600.94

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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.