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Finding the Third Proportional to 664,730 and 968,029

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Solution

The third proportional to 664,730 and 968,029 is: 1,409,715.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,730 : 968,029 = 968,029 : x
  2. Step 2: Convert to fraction form
    664,730/968,029 = 968,029/x
  3. Step 3: Cross multiply
    664,730x = 968,029 × 968,029
  4. Step 4: Simplify right side
    664,730x = 937,080,144,841
  5. Step 5: Solve for x
    x = 937,080,144,841/664,730
  6. Step 6: Final answer
    x = 1,409,715.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.