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Finding the Third Proportional to 2,658,395.25 and 5,831,419.50

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Solution

The third proportional to 2,658,395.25 and 5,831,419.50 is: 12,791,722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658,395.25 : 5,831,419.50 = 5,831,419.50 : x
  2. Step 2: Convert to fraction form
    2,658,395.25/5,831,419.50 = 5,831,419.50/x
  3. Step 3: Cross multiply
    2,658,395.25x = 5,831,419.50 × 5,831,419.50
  4. Step 4: Simplify right side
    2,658,395.25x = 34,005,453,384,980.25
  5. Step 5: Solve for x
    x = 34,005,453,384,980.25/2,658,395.25
  6. Step 6: Final answer
    x = 12,791,722.14

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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.