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Finding the Third Proportional to 1,577,314.37 and 3,423,825.18

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Solution

The third proportional to 1,577,314.37 and 3,423,825.18 is: 7,431,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,314.37 : 3,423,825.18 = 3,423,825.18 : x
  2. Step 2: Convert to fraction form
    1,577,314.37/3,423,825.18 = 3,423,825.18/x
  3. Step 3: Cross multiply
    1,577,314.37x = 3,423,825.18 × 3,423,825.18
  4. Step 4: Simplify right side
    1,577,314.37x = 11,722,578,834,313.17
  5. Step 5: Solve for x
    x = 11,722,578,834,313.17/1,577,314.37
  6. Step 6: Final answer
    x = 7,431,986.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.