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Finding the Third Proportional to 830,174 and 1,215,654

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Solution

The third proportional to 830,174 and 1,215,654 is: 1,780,126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,174 : 1,215,654 = 1,215,654 : x
  2. Step 2: Convert to fraction form
    830,174/1,215,654 = 1,215,654/x
  3. Step 3: Cross multiply
    830,174x = 1,215,654 × 1,215,654
  4. Step 4: Simplify right side
    830,174x = 1,477,814,647,716
  5. Step 5: Solve for x
    x = 1,477,814,647,716/830,174
  6. Step 6: Final answer
    x = 1,780,126.39

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.