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Finding the Third Proportional to 947,196 and 1,448,988

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Solution

The third proportional to 947,196 and 1,448,988 is: 2,216,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,196 : 1,448,988 = 1,448,988 : x
  2. Step 2: Convert to fraction form
    947,196/1,448,988 = 1,448,988/x
  3. Step 3: Cross multiply
    947,196x = 1,448,988 × 1,448,988
  4. Step 4: Simplify right side
    947,196x = 2,099,566,224,144
  5. Step 5: Solve for x
    x = 2,099,566,224,144/947,196
  6. Step 6: Final answer
    x = 2,216,612.22

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.