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Finding the Third Proportional to 1,772,307 and 3,796,802.25

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Solution

The third proportional to 1,772,307 and 3,796,802.25 is: 8,133,865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772,307 : 3,796,802.25 = 3,796,802.25 : x
  2. Step 2: Convert to fraction form
    1,772,307/3,796,802.25 = 3,796,802.25/x
  3. Step 3: Cross multiply
    1,772,307x = 3,796,802.25 × 3,796,802.25
  4. Step 4: Simplify right side
    1,772,307x = 14,415,707,325,605.06
  5. Step 5: Solve for x
    x = 14,415,707,325,605.06/1,772,307
  6. Step 6: Final answer
    x = 8,133,865.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.