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Finding the Third Proportional to 2,026,746.50 and 4,427,469.50

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Solution

The third proportional to 2,026,746.50 and 4,427,469.50 is: 9,671,898.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026,746.50 : 4,427,469.50 = 4,427,469.50 : x
  2. Step 2: Convert to fraction form
    2,026,746.50/4,427,469.50 = 4,427,469.50/x
  3. Step 3: Cross multiply
    2,026,746.50x = 4,427,469.50 × 4,427,469.50
  4. Step 4: Simplify right side
    2,026,746.50x = 19,602,486,173,430.25
  5. Step 5: Solve for x
    x = 19,602,486,173,430.25/2,026,746.50
  6. Step 6: Final answer
    x = 9,671,898.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.