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Finding the Third Proportional to 793,284 and 1,156,696

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Solution

The third proportional to 793,284 and 1,156,696 is: 1,686,590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,284 : 1,156,696 = 1,156,696 : x
  2. Step 2: Convert to fraction form
    793,284/1,156,696 = 1,156,696/x
  3. Step 3: Cross multiply
    793,284x = 1,156,696 × 1,156,696
  4. Step 4: Simplify right side
    793,284x = 1,337,945,636,416
  5. Step 5: Solve for x
    x = 1,337,945,636,416/793,284
  6. Step 6: Final answer
    x = 1,686,590.98

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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.