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Finding the Third Proportional to 1,940,724 and 2,778,973.50

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Solution

The third proportional to 1,940,724 and 2,778,973.50 is: 3,979,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940,724 : 2,778,973.50 = 2,778,973.50 : x
  2. Step 2: Convert to fraction form
    1,940,724/2,778,973.50 = 2,778,973.50/x
  3. Step 3: Cross multiply
    1,940,724x = 2,778,973.50 × 2,778,973.50
  4. Step 4: Simplify right side
    1,940,724x = 7,722,693,713,702.25
  5. Step 5: Solve for x
    x = 7,722,693,713,702.25/1,940,724
  6. Step 6: Final answer
    x = 3,979,284.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.