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Finding the Third Proportional to 1,470,805.29 and 3,177,943.53

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Solution

The third proportional to 1,470,805.29 and 3,177,943.53 is: 6,866,527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470,805.29 : 3,177,943.53 = 3,177,943.53 : x
  2. Step 2: Convert to fraction form
    1,470,805.29/3,177,943.53 = 3,177,943.53/x
  3. Step 3: Cross multiply
    1,470,805.29x = 3,177,943.53 × 3,177,943.53
  4. Step 4: Simplify right side
    1,470,805.29x = 10,099,325,073,072.51
  5. Step 5: Solve for x
    x = 10,099,325,073,072.51/1,470,805.29
  6. Step 6: Final answer
    x = 6,866,527.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.