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Finding the Third Proportional to 1,706,605.50 and 3,656,097

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Solution

The third proportional to 1,706,605.50 and 3,656,097 is: 7,832,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,605.50 : 3,656,097 = 3,656,097 : x
  2. Step 2: Convert to fraction form
    1,706,605.50/3,656,097 = 3,656,097/x
  3. Step 3: Cross multiply
    1,706,605.50x = 3,656,097 × 3,656,097
  4. Step 4: Simplify right side
    1,706,605.50x = 13,367,045,273,409
  5. Step 5: Solve for x
    x = 13,367,045,273,409/1,706,605.50
  6. Step 6: Final answer
    x = 7,832,533.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.