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Finding the Third Proportional to 1,307,382.48 and 2,824,838.69

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Solution

The third proportional to 1,307,382.48 and 2,824,838.69 is: 6,103,580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307,382.48 : 2,824,838.69 = 2,824,838.69 : x
  2. Step 2: Convert to fraction form
    1,307,382.48/2,824,838.69 = 2,824,838.69/x
  3. Step 3: Cross multiply
    1,307,382.48x = 2,824,838.69 × 2,824,838.69
  4. Step 4: Simplify right side
    1,307,382.48x = 7,979,713,637,982.40
  5. Step 5: Solve for x
    x = 7,979,713,637,982.40/1,307,382.48
  6. Step 6: Final answer
    x = 6,103,580.07

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