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Finding the Third Proportional to 652,096 and 997,594

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Solution

The third proportional to 652,096 and 997,594 is: 1,526,146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,096 : 997,594 = 997,594 : x
  2. Step 2: Convert to fraction form
    652,096/997,594 = 997,594/x
  3. Step 3: Cross multiply
    652,096x = 997,594 × 997,594
  4. Step 4: Simplify right side
    652,096x = 995,193,788,836
  5. Step 5: Solve for x
    x = 995,193,788,836/652,096
  6. Step 6: Final answer
    x = 1,526,146.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.