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Finding the Third Proportional to 741,429 and 1,618,776

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Solution

The third proportional to 741,429 and 1,618,776 is: 3,534,304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,429 : 1,618,776 = 1,618,776 : x
  2. Step 2: Convert to fraction form
    741,429/1,618,776 = 1,618,776/x
  3. Step 3: Cross multiply
    741,429x = 1,618,776 × 1,618,776
  4. Step 4: Simplify right side
    741,429x = 2,620,435,738,176
  5. Step 5: Solve for x
    x = 2,620,435,738,176/741,429
  6. Step 6: Final answer
    x = 3,534,304.35

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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.