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Finding the Third Proportional to 972,352.50 and 1,538,445.75

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Solution

The third proportional to 972,352.50 and 1,538,445.75 is: 2,434,112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,352.50 : 1,538,445.75 = 1,538,445.75 : x
  2. Step 2: Convert to fraction form
    972,352.50/1,538,445.75 = 1,538,445.75/x
  3. Step 3: Cross multiply
    972,352.50x = 1,538,445.75 × 1,538,445.75
  4. Step 4: Simplify right side
    972,352.50x = 2,366,815,325,693.06
  5. Step 5: Solve for x
    x = 2,366,815,325,693.06/972,352.50
  6. Step 6: Final answer
    x = 2,434,112.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.