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Finding the Third Proportional to 697,268.25 and 1,065,938.06

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Solution

The third proportional to 697,268.25 and 1,065,938.06 is: 1,629,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,268.25 : 1,065,938.06 = 1,065,938.06 : x
  2. Step 2: Convert to fraction form
    697,268.25/1,065,938.06 = 1,065,938.06/x
  3. Step 3: Cross multiply
    697,268.25x = 1,065,938.06 × 1,065,938.06
  4. Step 4: Simplify right side
    697,268.25x = 1,136,223,953,086.25
  5. Step 5: Solve for x
    x = 1,136,223,953,086.25/697,268.25
  6. Step 6: Final answer
    x = 1,629,536.34

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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.