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Finding the Third Proportional to 1,429,074.25 and 3,146,012.25

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Solution

The third proportional to 1,429,074.25 and 3,146,012.25 is: 6,925,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,074.25 : 3,146,012.25 = 3,146,012.25 : x
  2. Step 2: Convert to fraction form
    1,429,074.25/3,146,012.25 = 3,146,012.25/x
  3. Step 3: Cross multiply
    1,429,074.25x = 3,146,012.25 × 3,146,012.25
  4. Step 4: Simplify right side
    1,429,074.25x = 9,897,393,077,150.06
  5. Step 5: Solve for x
    x = 9,897,393,077,150.06/1,429,074.25
  6. Step 6: Final answer
    x = 6,925,737.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.