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Finding the Third Proportional to 786,242 and 1,178,130

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Solution

The third proportional to 786,242 and 1,178,130 is: 1,765,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,242 : 1,178,130 = 1,178,130 : x
  2. Step 2: Convert to fraction form
    786,242/1,178,130 = 1,178,130/x
  3. Step 3: Cross multiply
    786,242x = 1,178,130 × 1,178,130
  4. Step 4: Simplify right side
    786,242x = 1,387,990,296,900
  5. Step 5: Solve for x
    x = 1,387,990,296,900/786,242
  6. Step 6: Final answer
    x = 1,765,347.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.