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Finding the Third Proportional to 1,014,864.75 and 2,208,387.38

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Solution

The third proportional to 1,014,864.75 and 2,208,387.38 is: 4,805,541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,864.75 : 2,208,387.38 = 2,208,387.38 : x
  2. Step 2: Convert to fraction form
    1,014,864.75/2,208,387.38 = 2,208,387.38/x
  3. Step 3: Cross multiply
    1,014,864.75x = 2,208,387.38 × 2,208,387.38
  4. Step 4: Simplify right side
    1,014,864.75x = 4,876,974,798,059.39
  5. Step 5: Solve for x
    x = 4,876,974,798,059.39/1,014,864.75
  6. Step 6: Final answer
    x = 4,805,541.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.