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Finding the Third Proportional to 662,175 and 1,429,265.25

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Solution

The third proportional to 662,175 and 1,429,265.25 is: 3,084,983.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,175 : 1,429,265.25 = 1,429,265.25 : x
  2. Step 2: Convert to fraction form
    662,175/1,429,265.25 = 1,429,265.25/x
  3. Step 3: Cross multiply
    662,175x = 1,429,265.25 × 1,429,265.25
  4. Step 4: Simplify right side
    662,175x = 2,042,799,154,857.56
  5. Step 5: Solve for x
    x = 2,042,799,154,857.56/662,175
  6. Step 6: Final answer
    x = 3,084,983.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.