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Finding the Third Proportional to 690,687 and 1,065,534.75

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Solution

The third proportional to 690,687 and 1,065,534.75 is: 1,643,818.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,687 : 1,065,534.75 = 1,065,534.75 : x
  2. Step 2: Convert to fraction form
    690,687/1,065,534.75 = 1,065,534.75/x
  3. Step 3: Cross multiply
    690,687x = 1,065,534.75 × 1,065,534.75
  4. Step 4: Simplify right side
    690,687x = 1,135,364,303,457.56
  5. Step 5: Solve for x
    x = 1,135,364,303,457.56/690,687
  6. Step 6: Final answer
    x = 1,643,818.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.