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Finding the Third Proportional to 1,306,969.07 and 2,831,066.23

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Solution

The third proportional to 1,306,969.07 and 2,831,066.23 is: 6,132,460.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,969.07 : 2,831,066.23 = 2,831,066.23 : x
  2. Step 2: Convert to fraction form
    1,306,969.07/2,831,066.23 = 2,831,066.23/x
  3. Step 3: Cross multiply
    1,306,969.07x = 2,831,066.23 × 2,831,066.23
  4. Step 4: Simplify right side
    1,306,969.07x = 8,014,935,979,182.83
  5. Step 5: Solve for x
    x = 8,014,935,979,182.83/1,306,969.07
  6. Step 6: Final answer
    x = 6,132,460.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.