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Finding the Third Proportional to 666,468 and 1,032,264

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Solution

The third proportional to 666,468 and 1,032,264 is: 1,598,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,468 : 1,032,264 = 1,032,264 : x
  2. Step 2: Convert to fraction form
    666,468/1,032,264 = 1,032,264/x
  3. Step 3: Cross multiply
    666,468x = 1,032,264 × 1,032,264
  4. Step 4: Simplify right side
    666,468x = 1,065,568,965,696
  5. Step 5: Solve for x
    x = 1,065,568,965,696/666,468
  6. Step 6: Final answer
    x = 1,598,829.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.