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Finding the Third Proportional to 581,178.50 and 1,254,103

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Solution

The third proportional to 581,178.50 and 1,254,103 is: 2,706,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,178.50 : 1,254,103 = 1,254,103 : x
  2. Step 2: Convert to fraction form
    581,178.50/1,254,103 = 1,254,103/x
  3. Step 3: Cross multiply
    581,178.50x = 1,254,103 × 1,254,103
  4. Step 4: Simplify right side
    581,178.50x = 1,572,774,334,609
  5. Step 5: Solve for x
    x = 1,572,774,334,609/581,178.50
  6. Step 6: Final answer
    x = 2,706,181.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.