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Finding the Third Proportional to 665,896 and 1,043,468

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Solution

The third proportional to 665,896 and 1,043,468 is: 1,635,128.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,896 : 1,043,468 = 1,043,468 : x
  2. Step 2: Convert to fraction form
    665,896/1,043,468 = 1,043,468/x
  3. Step 3: Cross multiply
    665,896x = 1,043,468 × 1,043,468
  4. Step 4: Simplify right side
    665,896x = 1,088,825,467,024
  5. Step 5: Solve for x
    x = 1,088,825,467,024/665,896
  6. Step 6: Final answer
    x = 1,635,128.41

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.