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Finding the Third Proportional to 1,954,055.25 and 4,242,330

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Solution

The third proportional to 1,954,055.25 and 4,242,330 is: 9,210,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954,055.25 : 4,242,330 = 4,242,330 : x
  2. Step 2: Convert to fraction form
    1,954,055.25/4,242,330 = 4,242,330/x
  3. Step 3: Cross multiply
    1,954,055.25x = 4,242,330 × 4,242,330
  4. Step 4: Simplify right side
    1,954,055.25x = 17,997,363,828,900
  5. Step 5: Solve for x
    x = 17,997,363,828,900/1,954,055.25
  6. Step 6: Final answer
    x = 9,210,263.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.