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Finding the Third Proportional to 2,255,501.25 and 4,630,573.41

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Solution

The third proportional to 2,255,501.25 and 4,630,573.41 is: 9,506,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255,501.25 : 4,630,573.41 = 4,630,573.41 : x
  2. Step 2: Convert to fraction form
    2,255,501.25/4,630,573.41 = 4,630,573.41/x
  3. Step 3: Cross multiply
    2,255,501.25x = 4,630,573.41 × 4,630,573.41
  4. Step 4: Simplify right side
    2,255,501.25x = 21,442,210,070,669.73
  5. Step 5: Solve for x
    x = 21,442,210,070,669.73/2,255,501.25
  6. Step 6: Final answer
    x = 9,506,627.44

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.