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Finding the Third Proportional to 918,304.50 and 1,447,885.50

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Solution

The third proportional to 918,304.50 and 1,447,885.50 is: 2,282,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,304.50 : 1,447,885.50 = 1,447,885.50 : x
  2. Step 2: Convert to fraction form
    918,304.50/1,447,885.50 = 1,447,885.50/x
  3. Step 3: Cross multiply
    918,304.50x = 1,447,885.50 × 1,447,885.50
  4. Step 4: Simplify right side
    918,304.50x = 2,096,372,421,110.25
  5. Step 5: Solve for x
    x = 2,096,372,421,110.25/918,304.50
  6. Step 6: Final answer
    x = 2,282,872.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.