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Finding the Third Proportional to 415,097 and 865,597

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Solution

The third proportional to 415,097 and 865,597 is: 1,805,019.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,097 : 865,597 = 865,597 : x
  2. Step 2: Convert to fraction form
    415,097/865,597 = 865,597/x
  3. Step 3: Cross multiply
    415,097x = 865,597 × 865,597
  4. Step 4: Simplify right side
    415,097x = 749,258,166,409
  5. Step 5: Solve for x
    x = 749,258,166,409/415,097
  6. Step 6: Final answer
    x = 1,805,019.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.