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Finding the Third Proportional to 528,025 and 1,135,654

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Solution

The third proportional to 528,025 and 1,135,654 is: 2,442,516.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,025 : 1,135,654 = 1,135,654 : x
  2. Step 2: Convert to fraction form
    528,025/1,135,654 = 1,135,654/x
  3. Step 3: Cross multiply
    528,025x = 1,135,654 × 1,135,654
  4. Step 4: Simplify right side
    528,025x = 1,289,710,007,716
  5. Step 5: Solve for x
    x = 1,289,710,007,716/528,025
  6. Step 6: Final answer
    x = 2,442,516.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.