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Finding the Third Proportional to 734,112 and 1,625,445

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Solution

The third proportional to 734,112 and 1,625,445 is: 3,599,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,112 : 1,625,445 = 1,625,445 : x
  2. Step 2: Convert to fraction form
    734,112/1,625,445 = 1,625,445/x
  3. Step 3: Cross multiply
    734,112x = 1,625,445 × 1,625,445
  4. Step 4: Simplify right side
    734,112x = 2,642,071,448,025
  5. Step 5: Solve for x
    x = 2,642,071,448,025/734,112
  6. Step 6: Final answer
    x = 3,599,003.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.