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Finding the Third Proportional to 1,407,399.19 and 3,072,865.50

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Solution

The third proportional to 1,407,399.19 and 3,072,865.50 is: 6,709,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,399.19 : 3,072,865.50 = 3,072,865.50 : x
  2. Step 2: Convert to fraction form
    1,407,399.19/3,072,865.50 = 3,072,865.50/x
  3. Step 3: Cross multiply
    1,407,399.19x = 3,072,865.50 × 3,072,865.50
  4. Step 4: Simplify right side
    1,407,399.19x = 9,442,502,381,090.25
  5. Step 5: Solve for x
    x = 9,442,502,381,090.25/1,407,399.19
  6. Step 6: Final answer
    x = 6,709,185.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.