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Finding the Third Proportional to 2,963,724.75 and 4,468,929.75

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Solution

The third proportional to 2,963,724.75 and 4,468,929.75 is: 6,738,592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963,724.75 : 4,468,929.75 = 4,468,929.75 : x
  2. Step 2: Convert to fraction form
    2,963,724.75/4,468,929.75 = 4,468,929.75/x
  3. Step 3: Cross multiply
    2,963,724.75x = 4,468,929.75 × 4,468,929.75
  4. Step 4: Simplify right side
    2,963,724.75x = 19,971,333,110,435.06
  5. Step 5: Solve for x
    x = 19,971,333,110,435.06/2,963,724.75
  6. Step 6: Final answer
    x = 6,738,592.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.