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Finding the Third Proportional to 797,232 and 1,165,152

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Solution

The third proportional to 797,232 and 1,165,152 is: 1,702,865.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,232 : 1,165,152 = 1,165,152 : x
  2. Step 2: Convert to fraction form
    797,232/1,165,152 = 1,165,152/x
  3. Step 3: Cross multiply
    797,232x = 1,165,152 × 1,165,152
  4. Step 4: Simplify right side
    797,232x = 1,357,579,183,104
  5. Step 5: Solve for x
    x = 1,357,579,183,104/797,232
  6. Step 6: Final answer
    x = 1,702,865.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.