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Finding the Third Proportional to 520,142.50 and 1,135,541

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Solution

The third proportional to 520,142.50 and 1,135,541 is: 2,479,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,142.50 : 1,135,541 = 1,135,541 : x
  2. Step 2: Convert to fraction form
    520,142.50/1,135,541 = 1,135,541/x
  3. Step 3: Cross multiply
    520,142.50x = 1,135,541 × 1,135,541
  4. Step 4: Simplify right side
    520,142.50x = 1,289,453,362,681
  5. Step 5: Solve for x
    x = 1,289,453,362,681/520,142.50
  6. Step 6: Final answer
    x = 2,479,038.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.