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Finding the Third Proportional to 545,702 and 1,178,306

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Solution

The third proportional to 545,702 and 1,178,306 is: 2,544,254.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,702 : 1,178,306 = 1,178,306 : x
  2. Step 2: Convert to fraction form
    545,702/1,178,306 = 1,178,306/x
  3. Step 3: Cross multiply
    545,702x = 1,178,306 × 1,178,306
  4. Step 4: Simplify right side
    545,702x = 1,388,405,029,636
  5. Step 5: Solve for x
    x = 1,388,405,029,636/545,702
  6. Step 6: Final answer
    x = 2,544,254.98

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Why These Related Problems?

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