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Finding the Third Proportional to 506,445.75 and 1,059,669

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Solution

The third proportional to 506,445.75 and 1,059,669 is: 2,217,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,445.75 : 1,059,669 = 1,059,669 : x
  2. Step 2: Convert to fraction form
    506,445.75/1,059,669 = 1,059,669/x
  3. Step 3: Cross multiply
    506,445.75x = 1,059,669 × 1,059,669
  4. Step 4: Simplify right side
    506,445.75x = 1,122,898,389,561
  5. Step 5: Solve for x
    x = 1,122,898,389,561/506,445.75
  6. Step 6: Final answer
    x = 2,217,213.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.