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Finding the Third Proportional to 652,097 and 997,596

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Solution

The third proportional to 652,097 and 997,596 is: 1,526,149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,097 : 997,596 = 997,596 : x
  2. Step 2: Convert to fraction form
    652,097/997,596 = 997,596/x
  3. Step 3: Cross multiply
    652,097x = 997,596 × 997,596
  4. Step 4: Simplify right side
    652,097x = 995,197,779,216
  5. Step 5: Solve for x
    x = 995,197,779,216/652,097
  6. Step 6: Final answer
    x = 1,526,149.91

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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.