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Finding the Third Proportional to 1,005,133.50 and 2,167,731

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Solution

The third proportional to 1,005,133.50 and 2,167,731 is: 4,675,058.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,133.50 : 2,167,731 = 2,167,731 : x
  2. Step 2: Convert to fraction form
    1,005,133.50/2,167,731 = 2,167,731/x
  3. Step 3: Cross multiply
    1,005,133.50x = 2,167,731 × 2,167,731
  4. Step 4: Simplify right side
    1,005,133.50x = 4,699,057,688,361
  5. Step 5: Solve for x
    x = 4,699,057,688,361/1,005,133.50
  6. Step 6: Final answer
    x = 4,675,058.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.