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Finding the Third Proportional to 527,629 and 1,073,889.50

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Solution

The third proportional to 527,629 and 1,073,889.50 is: 2,185,699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,629 : 1,073,889.50 = 1,073,889.50 : x
  2. Step 2: Convert to fraction form
    527,629/1,073,889.50 = 1,073,889.50/x
  3. Step 3: Cross multiply
    527,629x = 1,073,889.50 × 1,073,889.50
  4. Step 4: Simplify right side
    527,629x = 1,153,238,658,210.25
  5. Step 5: Solve for x
    x = 1,153,238,658,210.25/527,629
  6. Step 6: Final answer
    x = 2,185,699.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.