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Finding the Third Proportional to 1,311,083 and 2,852,895

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Solution

The third proportional to 1,311,083 and 2,852,895 is: 6,207,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311,083 : 2,852,895 = 2,852,895 : x
  2. Step 2: Convert to fraction form
    1,311,083/2,852,895 = 2,852,895/x
  3. Step 3: Cross multiply
    1,311,083x = 2,852,895 × 2,852,895
  4. Step 4: Simplify right side
    1,311,083x = 8,139,009,881,025
  5. Step 5: Solve for x
    x = 8,139,009,881,025/1,311,083
  6. Step 6: Final answer
    x = 6,207,852.50

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Why These Related Problems?

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