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Finding the Third Proportional to 1,308,746 and 1,963,119

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Solution

The third proportional to 1,308,746 and 1,963,119 is: 2,944,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308,746 : 1,963,119 = 1,963,119 : x
  2. Step 2: Convert to fraction form
    1,308,746/1,963,119 = 1,963,119/x
  3. Step 3: Cross multiply
    1,308,746x = 1,963,119 × 1,963,119
  4. Step 4: Simplify right side
    1,308,746x = 3,853,836,208,161
  5. Step 5: Solve for x
    x = 3,853,836,208,161/1,308,746
  6. Step 6: Final answer
    x = 2,944,678.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.