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Finding the Third Proportional to 732,674 and 1,562,122

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Solution

The third proportional to 732,674 and 1,562,122 is: 3,330,574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,674 : 1,562,122 = 1,562,122 : x
  2. Step 2: Convert to fraction form
    732,674/1,562,122 = 1,562,122/x
  3. Step 3: Cross multiply
    732,674x = 1,562,122 × 1,562,122
  4. Step 4: Simplify right side
    732,674x = 2,440,225,142,884
  5. Step 5: Solve for x
    x = 2,440,225,142,884/732,674
  6. Step 6: Final answer
    x = 3,330,574.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.