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Finding the Third Proportional to 1,009,765 and 2,161,405

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Solution

The third proportional to 1,009,765 and 2,161,405 is: 4,626,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,765 : 2,161,405 = 2,161,405 : x
  2. Step 2: Convert to fraction form
    1,009,765/2,161,405 = 2,161,405/x
  3. Step 3: Cross multiply
    1,009,765x = 2,161,405 × 2,161,405
  4. Step 4: Simplify right side
    1,009,765x = 4,671,671,574,025
  5. Step 5: Solve for x
    x = 4,671,671,574,025/1,009,765
  6. Step 6: Final answer
    x = 4,626,493.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.