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Finding the Third Proportional to 690,225.75 and 1,476,409.50

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Solution

The third proportional to 690,225.75 and 1,476,409.50 is: 3,158,075.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,225.75 : 1,476,409.50 = 1,476,409.50 : x
  2. Step 2: Convert to fraction form
    690,225.75/1,476,409.50 = 1,476,409.50/x
  3. Step 3: Cross multiply
    690,225.75x = 1,476,409.50 × 1,476,409.50
  4. Step 4: Simplify right side
    690,225.75x = 2,179,785,011,690.25
  5. Step 5: Solve for x
    x = 2,179,785,011,690.25/690,225.75
  6. Step 6: Final answer
    x = 3,158,075.47

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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.