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Finding the Third Proportional to 743,684 and 1,117,222

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Solution

The third proportional to 743,684 and 1,117,222 is: 1,678,380.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,684 : 1,117,222 = 1,117,222 : x
  2. Step 2: Convert to fraction form
    743,684/1,117,222 = 1,117,222/x
  3. Step 3: Cross multiply
    743,684x = 1,117,222 × 1,117,222
  4. Step 4: Simplify right side
    743,684x = 1,248,184,997,284
  5. Step 5: Solve for x
    x = 1,248,184,997,284/743,684
  6. Step 6: Final answer
    x = 1,678,380.87

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