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Finding the Third Proportional to 2,210,260.25 and 4,831,414.50

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Solution

The third proportional to 2,210,260.25 and 4,831,414.50 is: 10,561,003.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210,260.25 : 4,831,414.50 = 4,831,414.50 : x
  2. Step 2: Convert to fraction form
    2,210,260.25/4,831,414.50 = 4,831,414.50/x
  3. Step 3: Cross multiply
    2,210,260.25x = 4,831,414.50 × 4,831,414.50
  4. Step 4: Simplify right side
    2,210,260.25x = 23,342,566,070,810.25
  5. Step 5: Solve for x
    x = 23,342,566,070,810.25/2,210,260.25
  6. Step 6: Final answer
    x = 10,561,003.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.