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Finding the Third Proportional to 535,424 and 1,164,128

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Solution

The third proportional to 535,424 and 1,164,128 is: 2,531,066.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,424 : 1,164,128 = 1,164,128 : x
  2. Step 2: Convert to fraction form
    535,424/1,164,128 = 1,164,128/x
  3. Step 3: Cross multiply
    535,424x = 1,164,128 × 1,164,128
  4. Step 4: Simplify right side
    535,424x = 1,355,194,000,384
  5. Step 5: Solve for x
    x = 1,355,194,000,384/535,424
  6. Step 6: Final answer
    x = 2,531,066.97

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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.