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Finding the Third Proportional to 529,724 and 1,149,751

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Solution

The third proportional to 529,724 and 1,149,751 is: 2,495,502.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,724 : 1,149,751 = 1,149,751 : x
  2. Step 2: Convert to fraction form
    529,724/1,149,751 = 1,149,751/x
  3. Step 3: Cross multiply
    529,724x = 1,149,751 × 1,149,751
  4. Step 4: Simplify right side
    529,724x = 1,321,927,362,001
  5. Step 5: Solve for x
    x = 1,321,927,362,001/529,724
  6. Step 6: Final answer
    x = 2,495,502.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.