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Finding the Third Proportional to 972,364.50 and 1,538,460

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Solution

The third proportional to 972,364.50 and 1,538,460 is: 2,434,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,364.50 : 1,538,460 = 1,538,460 : x
  2. Step 2: Convert to fraction form
    972,364.50/1,538,460 = 1,538,460/x
  3. Step 3: Cross multiply
    972,364.50x = 1,538,460 × 1,538,460
  4. Step 4: Simplify right side
    972,364.50x = 2,366,859,171,600
  5. Step 5: Solve for x
    x = 2,366,859,171,600/972,364.50
  6. Step 6: Final answer
    x = 2,434,127.50

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