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Finding the Third Proportional to 684,126 and 1,583,577

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Solution

The third proportional to 684,126 and 1,583,577 is: 3,665,576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,126 : 1,583,577 = 1,583,577 : x
  2. Step 2: Convert to fraction form
    684,126/1,583,577 = 1,583,577/x
  3. Step 3: Cross multiply
    684,126x = 1,583,577 × 1,583,577
  4. Step 4: Simplify right side
    684,126x = 2,507,716,114,929
  5. Step 5: Solve for x
    x = 2,507,716,114,929/684,126
  6. Step 6: Final answer
    x = 3,665,576.39

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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.