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Finding the Third Proportional to 673,720 and 968,434

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Solution

The third proportional to 673,720 and 968,434 is: 1,392,068.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,720 : 968,434 = 968,434 : x
  2. Step 2: Convert to fraction form
    673,720/968,434 = 968,434/x
  3. Step 3: Cross multiply
    673,720x = 968,434 × 968,434
  4. Step 4: Simplify right side
    673,720x = 937,864,412,356
  5. Step 5: Solve for x
    x = 937,864,412,356/673,720
  6. Step 6: Final answer
    x = 1,392,068.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.