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Finding the Third Proportional to 654,178 and 1,432,772

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Solution

The third proportional to 654,178 and 1,432,772 is: 3,138,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,178 : 1,432,772 = 1,432,772 : x
  2. Step 2: Convert to fraction form
    654,178/1,432,772 = 1,432,772/x
  3. Step 3: Cross multiply
    654,178x = 1,432,772 × 1,432,772
  4. Step 4: Simplify right side
    654,178x = 2,052,835,603,984
  5. Step 5: Solve for x
    x = 2,052,835,603,984/654,178
  6. Step 6: Final answer
    x = 3,138,038.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.