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Finding the Third Proportional to 1,947,300.75 and 5,055,088.50

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Solution

The third proportional to 1,947,300.75 and 5,055,088.50 is: 13,122,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947,300.75 : 5,055,088.50 = 5,055,088.50 : x
  2. Step 2: Convert to fraction form
    1,947,300.75/5,055,088.50 = 5,055,088.50/x
  3. Step 3: Cross multiply
    1,947,300.75x = 5,055,088.50 × 5,055,088.50
  4. Step 4: Simplify right side
    1,947,300.75x = 25,553,919,742,832.25
  5. Step 5: Solve for x
    x = 25,553,919,742,832.25/1,947,300.75
  6. Step 6: Final answer
    x = 13,122,739.13

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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.