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Finding the Third Proportional to 1,437,133.50 and 3,129,417

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Solution

The third proportional to 1,437,133.50 and 3,129,417 is: 6,814,433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437,133.50 : 3,129,417 = 3,129,417 : x
  2. Step 2: Convert to fraction form
    1,437,133.50/3,129,417 = 3,129,417/x
  3. Step 3: Cross multiply
    1,437,133.50x = 3,129,417 × 3,129,417
  4. Step 4: Simplify right side
    1,437,133.50x = 9,793,250,759,889
  5. Step 5: Solve for x
    x = 9,793,250,759,889/1,437,133.50
  6. Step 6: Final answer
    x = 6,814,433.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.