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Finding the Third Proportional to 462,611.25 and 1,070,878.22

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Solution

The third proportional to 462,611.25 and 1,070,878.22 is: 2,478,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,611.25 : 1,070,878.22 = 1,070,878.22 : x
  2. Step 2: Convert to fraction form
    462,611.25/1,070,878.22 = 1,070,878.22/x
  3. Step 3: Cross multiply
    462,611.25x = 1,070,878.22 × 1,070,878.22
  4. Step 4: Simplify right side
    462,611.25x = 1,146,780,159,393.17
  5. Step 5: Solve for x
    x = 1,146,780,159,393.17/462,611.25
  6. Step 6: Final answer
    x = 2,478,928.39

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.