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Finding the Third Proportional to 1,277,979.75 and 2,735,521.50

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Solution

The third proportional to 1,277,979.75 and 2,735,521.50 is: 5,855,396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,979.75 : 2,735,521.50 = 2,735,521.50 : x
  2. Step 2: Convert to fraction form
    1,277,979.75/2,735,521.50 = 2,735,521.50/x
  3. Step 3: Cross multiply
    1,277,979.75x = 2,735,521.50 × 2,735,521.50
  4. Step 4: Simplify right side
    1,277,979.75x = 7,483,077,876,962.25
  5. Step 5: Solve for x
    x = 7,483,077,876,962.25/1,277,979.75
  6. Step 6: Final answer
    x = 5,855,396.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.