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Finding the Third Proportional to 867,327.75 and 1,271,381.06

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Solution

The third proportional to 867,327.75 and 1,271,381.06 is: 1,863,666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,327.75 : 1,271,381.06 = 1,271,381.06 : x
  2. Step 2: Convert to fraction form
    867,327.75/1,271,381.06 = 1,271,381.06/x
  3. Step 3: Cross multiply
    867,327.75x = 1,271,381.06 × 1,271,381.06
  4. Step 4: Simplify right side
    867,327.75x = 1,616,409,806,083.63
  5. Step 5: Solve for x
    x = 1,616,409,806,083.63/867,327.75
  6. Step 6: Final answer
    x = 1,863,666.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.