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Finding the Third Proportional to 945,312 and 1,414,667.25

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Solution

The third proportional to 945,312 and 1,414,667.25 is: 2,117,061.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,312 : 1,414,667.25 = 1,414,667.25 : x
  2. Step 2: Convert to fraction form
    945,312/1,414,667.25 = 1,414,667.25/x
  3. Step 3: Cross multiply
    945,312x = 1,414,667.25 × 1,414,667.25
  4. Step 4: Simplify right side
    945,312x = 2,001,283,428,222.56
  5. Step 5: Solve for x
    x = 2,001,283,428,222.56/945,312
  6. Step 6: Final answer
    x = 2,117,061.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.