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Finding the Third Proportional to 1,584,901.69 and 2,392,056.56

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Solution

The third proportional to 1,584,901.69 and 2,392,056.56 is: 3,610,277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,901.69 : 2,392,056.56 = 2,392,056.56 : x
  2. Step 2: Convert to fraction form
    1,584,901.69/2,392,056.56 = 2,392,056.56/x
  3. Step 3: Cross multiply
    1,584,901.69x = 2,392,056.56 × 2,392,056.56
  4. Step 4: Simplify right side
    1,584,901.69x = 5,721,934,598,199.32
  5. Step 5: Solve for x
    x = 5,721,934,598,199.32/1,584,901.69
  6. Step 6: Final answer
    x = 3,610,277.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.