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Finding the Third Proportional to 965,219 and 1,457,721

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Solution

The third proportional to 965,219 and 1,457,721 is: 2,201,521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,219 : 1,457,721 = 1,457,721 : x
  2. Step 2: Convert to fraction form
    965,219/1,457,721 = 1,457,721/x
  3. Step 3: Cross multiply
    965,219x = 1,457,721 × 1,457,721
  4. Step 4: Simplify right side
    965,219x = 2,124,950,513,841
  5. Step 5: Solve for x
    x = 2,124,950,513,841/965,219
  6. Step 6: Final answer
    x = 2,201,521.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.