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Finding the Third Proportional to 2,105,955 and 3,009,464.16

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Solution

The third proportional to 2,105,955 and 3,009,464.16 is: 4,300,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,955 : 3,009,464.16 = 3,009,464.16 : x
  2. Step 2: Convert to fraction form
    2,105,955/3,009,464.16 = 3,009,464.16/x
  3. Step 3: Cross multiply
    2,105,955x = 3,009,464.16 × 3,009,464.16
  4. Step 4: Simplify right side
    2,105,955x = 9,056,874,507,753.52
  5. Step 5: Solve for x
    x = 9,056,874,507,753.52/2,105,955
  6. Step 6: Final answer
    x = 4,300,602.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.