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Finding the Third Proportional to 786,972 and 1,180,467

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Solution

The third proportional to 786,972 and 1,180,467 is: 1,770,714.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,972 : 1,180,467 = 1,180,467 : x
  2. Step 2: Convert to fraction form
    786,972/1,180,467 = 1,180,467/x
  3. Step 3: Cross multiply
    786,972x = 1,180,467 × 1,180,467
  4. Step 4: Simplify right side
    786,972x = 1,393,502,338,089
  5. Step 5: Solve for x
    x = 1,393,502,338,089/786,972
  6. Step 6: Final answer
    x = 1,770,714.00

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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.