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Finding the Third Proportional to 746,682 and 1,148,358

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Solution

The third proportional to 746,682 and 1,148,358 is: 1,766,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,682 : 1,148,358 = 1,148,358 : x
  2. Step 2: Convert to fraction form
    746,682/1,148,358 = 1,148,358/x
  3. Step 3: Cross multiply
    746,682x = 1,148,358 × 1,148,358
  4. Step 4: Simplify right side
    746,682x = 1,318,726,096,164
  5. Step 5: Solve for x
    x = 1,318,726,096,164/746,682
  6. Step 6: Final answer
    x = 1,766,114.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.