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Finding the Third Proportional to 2,842,695.28 and 4,641,374.25

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Solution

The third proportional to 2,842,695.28 and 4,641,374.25 is: 7,578,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842,695.28 : 4,641,374.25 = 4,641,374.25 : x
  2. Step 2: Convert to fraction form
    2,842,695.28/4,641,374.25 = 4,641,374.25/x
  3. Step 3: Cross multiply
    2,842,695.28x = 4,641,374.25 × 4,641,374.25
  4. Step 4: Simplify right side
    2,842,695.28x = 21,542,354,928,563.06
  5. Step 5: Solve for x
    x = 21,542,354,928,563.06/2,842,695.28
  6. Step 6: Final answer
    x = 7,578,144.26

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.