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Finding the Third Proportional to 1,657,882.69 and 3,631,376.81

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Solution

The third proportional to 1,657,882.69 and 3,631,376.81 is: 7,954,059.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,882.69 : 3,631,376.81 = 3,631,376.81 : x
  2. Step 2: Convert to fraction form
    1,657,882.69/3,631,376.81 = 3,631,376.81/x
  3. Step 3: Cross multiply
    1,657,882.69x = 3,631,376.81 × 3,631,376.81
  4. Step 4: Simplify right side
    1,657,882.69x = 13,186,897,554,362.66
  5. Step 5: Solve for x
    x = 13,186,897,554,362.66/1,657,882.69
  6. Step 6: Final answer
    x = 7,954,059.51

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Why These Related Problems?

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