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Finding the Third Proportional to 684,112.50 and 1,583,559

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Solution

The third proportional to 684,112.50 and 1,583,559 is: 3,665,565.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,112.50 : 1,583,559 = 1,583,559 : x
  2. Step 2: Convert to fraction form
    684,112.50/1,583,559 = 1,583,559/x
  3. Step 3: Cross multiply
    684,112.50x = 1,583,559 × 1,583,559
  4. Step 4: Simplify right side
    684,112.50x = 2,507,659,106,481
  5. Step 5: Solve for x
    x = 2,507,659,106,481/684,112.50
  6. Step 6: Final answer
    x = 3,665,565.40

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.