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Finding the Third Proportional to 1,209,488 and 2,648,128

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Solution

The third proportional to 1,209,488 and 2,648,128 is: 5,797,975.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,488 : 2,648,128 = 2,648,128 : x
  2. Step 2: Convert to fraction form
    1,209,488/2,648,128 = 2,648,128/x
  3. Step 3: Cross multiply
    1,209,488x = 2,648,128 × 2,648,128
  4. Step 4: Simplify right side
    1,209,488x = 7,012,581,904,384
  5. Step 5: Solve for x
    x = 7,012,581,904,384/1,209,488
  6. Step 6: Final answer
    x = 5,797,975.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.