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Finding the Third Proportional to 972,068.34 and 2,121,010.31

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Solution

The third proportional to 972,068.34 and 2,121,010.31 is: 4,627,951.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,068.34 : 2,121,010.31 = 2,121,010.31 : x
  2. Step 2: Convert to fraction form
    972,068.34/2,121,010.31 = 2,121,010.31/x
  3. Step 3: Cross multiply
    972,068.34x = 2,121,010.31 × 2,121,010.31
  4. Step 4: Simplify right side
    972,068.34x = 4,498,684,745,731.35
  5. Step 5: Solve for x
    x = 4,498,684,745,731.35/972,068.34
  6. Step 6: Final answer
    x = 4,627,951.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.