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Finding the Third Proportional to 2,141,488 and 3,153,021

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Solution

The third proportional to 2,141,488 and 3,153,021 is: 4,642,352.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,488 : 3,153,021 = 3,153,021 : x
  2. Step 2: Convert to fraction form
    2,141,488/3,153,021 = 3,153,021/x
  3. Step 3: Cross multiply
    2,141,488x = 3,153,021 × 3,153,021
  4. Step 4: Simplify right side
    2,141,488x = 9,941,541,426,441
  5. Step 5: Solve for x
    x = 9,941,541,426,441/2,141,488
  6. Step 6: Final answer
    x = 4,642,352.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.