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Finding the Third Proportional to 702,742.50 and 1,562,673

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Solution

The third proportional to 702,742.50 and 1,562,673 is: 3,474,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,742.50 : 1,562,673 = 1,562,673 : x
  2. Step 2: Convert to fraction form
    702,742.50/1,562,673 = 1,562,673/x
  3. Step 3: Cross multiply
    702,742.50x = 1,562,673 × 1,562,673
  4. Step 4: Simplify right side
    702,742.50x = 2,441,946,904,929
  5. Step 5: Solve for x
    x = 2,441,946,904,929/702,742.50
  6. Step 6: Final answer
    x = 3,474,881.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.