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Finding the Third Proportional to 670,097 and 1,036,251

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Solution

The third proportional to 670,097 and 1,036,251 is: 1,602,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,097 : 1,036,251 = 1,036,251 : x
  2. Step 2: Convert to fraction form
    670,097/1,036,251 = 1,036,251/x
  3. Step 3: Cross multiply
    670,097x = 1,036,251 × 1,036,251
  4. Step 4: Simplify right side
    670,097x = 1,073,816,135,001
  5. Step 5: Solve for x
    x = 1,073,816,135,001/670,097
  6. Step 6: Final answer
    x = 1,602,478.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.