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Finding the Third Proportional to 1,107,351 and 1,583,500.50

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Solution

The third proportional to 1,107,351 and 1,583,500.50 is: 2,264,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107,351 : 1,583,500.50 = 1,583,500.50 : x
  2. Step 2: Convert to fraction form
    1,107,351/1,583,500.50 = 1,583,500.50/x
  3. Step 3: Cross multiply
    1,107,351x = 1,583,500.50 × 1,583,500.50
  4. Step 4: Simplify right side
    1,107,351x = 2,507,473,833,500.25
  5. Step 5: Solve for x
    x = 2,507,473,833,500.25/1,107,351
  6. Step 6: Final answer
    x = 2,264,389.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.