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Finding the Third Proportional to 692,774 and 1,036,397

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Solution

The third proportional to 692,774 and 1,036,397 is: 1,550,460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,774 : 1,036,397 = 1,036,397 : x
  2. Step 2: Convert to fraction form
    692,774/1,036,397 = 1,036,397/x
  3. Step 3: Cross multiply
    692,774x = 1,036,397 × 1,036,397
  4. Step 4: Simplify right side
    692,774x = 1,074,118,741,609
  5. Step 5: Solve for x
    x = 1,074,118,741,609/692,774
  6. Step 6: Final answer
    x = 1,550,460.53

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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.