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Finding the Third Proportional to 743,262 and 1,097,397

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Solution

The third proportional to 743,262 and 1,097,397 is: 1,620,263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,262 : 1,097,397 = 1,097,397 : x
  2. Step 2: Convert to fraction form
    743,262/1,097,397 = 1,097,397/x
  3. Step 3: Cross multiply
    743,262x = 1,097,397 × 1,097,397
  4. Step 4: Simplify right side
    743,262x = 1,204,280,175,609
  5. Step 5: Solve for x
    x = 1,204,280,175,609/743,262
  6. Step 6: Final answer
    x = 1,620,263.35

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.