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Finding the Third Proportional to 1,292,700 and 2,831,640

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Solution

The third proportional to 1,292,700 and 2,831,640 is: 6,202,665.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,700 : 2,831,640 = 2,831,640 : x
  2. Step 2: Convert to fraction form
    1,292,700/2,831,640 = 2,831,640/x
  3. Step 3: Cross multiply
    1,292,700x = 2,831,640 × 2,831,640
  4. Step 4: Simplify right side
    1,292,700x = 8,018,185,089,600
  5. Step 5: Solve for x
    x = 8,018,185,089,600/1,292,700
  6. Step 6: Final answer
    x = 6,202,665.03

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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.