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Finding the Third Proportional to 1,191,964 and 2,598,128

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Solution

The third proportional to 1,191,964 and 2,598,128 is: 5,663,148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,964 : 2,598,128 = 2,598,128 : x
  2. Step 2: Convert to fraction form
    1,191,964/2,598,128 = 2,598,128/x
  3. Step 3: Cross multiply
    1,191,964x = 2,598,128 × 2,598,128
  4. Step 4: Simplify right side
    1,191,964x = 6,750,269,104,384
  5. Step 5: Solve for x
    x = 6,750,269,104,384/1,191,964
  6. Step 6: Final answer
    x = 5,663,148.47

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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.