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Finding the Third Proportional to 1,330,101 and 1,947,964.50

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Solution

The third proportional to 1,330,101 and 1,947,964.50 is: 2,852,840.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330,101 : 1,947,964.50 = 1,947,964.50 : x
  2. Step 2: Convert to fraction form
    1,330,101/1,947,964.50 = 1,947,964.50/x
  3. Step 3: Cross multiply
    1,330,101x = 1,947,964.50 × 1,947,964.50
  4. Step 4: Simplify right side
    1,330,101x = 3,794,565,693,260.25
  5. Step 5: Solve for x
    x = 3,794,565,693,260.25/1,330,101
  6. Step 6: Final answer
    x = 2,852,840.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.