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Finding the Third Proportional to 729,308 and 1,104,024

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Solution

The third proportional to 729,308 and 1,104,024 is: 1,671,267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,308 : 1,104,024 = 1,104,024 : x
  2. Step 2: Convert to fraction form
    729,308/1,104,024 = 1,104,024/x
  3. Step 3: Cross multiply
    729,308x = 1,104,024 × 1,104,024
  4. Step 4: Simplify right side
    729,308x = 1,218,868,992,576
  5. Step 5: Solve for x
    x = 1,218,868,992,576/729,308
  6. Step 6: Final answer
    x = 1,671,267.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.