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Finding the Third Proportional to 699,786 and 1,114,038

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Solution

The third proportional to 699,786 and 1,114,038 is: 1,773,514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,786 : 1,114,038 = 1,114,038 : x
  2. Step 2: Convert to fraction form
    699,786/1,114,038 = 1,114,038/x
  3. Step 3: Cross multiply
    699,786x = 1,114,038 × 1,114,038
  4. Step 4: Simplify right side
    699,786x = 1,241,080,665,444
  5. Step 5: Solve for x
    x = 1,241,080,665,444/699,786
  6. Step 6: Final answer
    x = 1,773,514.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.