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Finding the Third Proportional to 947,943 and 2,028,746.25

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Solution

The third proportional to 947,943 and 2,028,746.25 is: 4,341,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,943 : 2,028,746.25 = 2,028,746.25 : x
  2. Step 2: Convert to fraction form
    947,943/2,028,746.25 = 2,028,746.25/x
  3. Step 3: Cross multiply
    947,943x = 2,028,746.25 × 2,028,746.25
  4. Step 4: Simplify right side
    947,943x = 4,115,811,346,889.06
  5. Step 5: Solve for x
    x = 4,115,811,346,889.06/947,943
  6. Step 6: Final answer
    x = 4,341,834.21

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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.