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Finding the Third Proportional to 464,383.13 and 948,445.88

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Solution

The third proportional to 464,383.13 and 948,445.88 is: 1,937,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,383.13 : 948,445.88 = 948,445.88 : x
  2. Step 2: Convert to fraction form
    464,383.13/948,445.88 = 948,445.88/x
  3. Step 3: Cross multiply
    464,383.13x = 948,445.88 × 948,445.88
  4. Step 4: Simplify right side
    464,383.13x = 899,549,577,804.52
  5. Step 5: Solve for x
    x = 899,549,577,804.52/464,383.13
  6. Step 6: Final answer
    x = 1,937,084.98

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.