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Finding the Third Proportional to 473,000 and 1,015,984

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Solution

The third proportional to 473,000 and 1,015,984 is: 2,182,290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,000 : 1,015,984 = 1,015,984 : x
  2. Step 2: Convert to fraction form
    473,000/1,015,984 = 1,015,984/x
  3. Step 3: Cross multiply
    473,000x = 1,015,984 × 1,015,984
  4. Step 4: Simplify right side
    473,000x = 1,032,223,488,256
  5. Step 5: Solve for x
    x = 1,032,223,488,256/473,000
  6. Step 6: Final answer
    x = 2,182,290.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.