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Finding the Third Proportional to 641,307 and 1,393,501.50

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Solution

The third proportional to 641,307 and 1,393,501.50 is: 3,027,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,307 : 1,393,501.50 = 1,393,501.50 : x
  2. Step 2: Convert to fraction form
    641,307/1,393,501.50 = 1,393,501.50/x
  3. Step 3: Cross multiply
    641,307x = 1,393,501.50 × 1,393,501.50
  4. Step 4: Simplify right side
    641,307x = 1,941,846,430,502.25
  5. Step 5: Solve for x
    x = 1,941,846,430,502.25/641,307
  6. Step 6: Final answer
    x = 3,027,951.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.