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Finding the Third Proportional to 497,264 and 1,073,152

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Solution

The third proportional to 497,264 and 1,073,152 is: 2,315,983.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,264 : 1,073,152 = 1,073,152 : x
  2. Step 2: Convert to fraction form
    497,264/1,073,152 = 1,073,152/x
  3. Step 3: Cross multiply
    497,264x = 1,073,152 × 1,073,152
  4. Step 4: Simplify right side
    497,264x = 1,151,655,215,104
  5. Step 5: Solve for x
    x = 1,151,655,215,104/497,264
  6. Step 6: Final answer
    x = 2,315,983.49

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