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Finding the Third Proportional to 473,217.75 and 1,005,482.25

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Solution

The third proportional to 473,217.75 and 1,005,482.25 is: 2,136,425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,217.75 : 1,005,482.25 = 1,005,482.25 : x
  2. Step 2: Convert to fraction form
    473,217.75/1,005,482.25 = 1,005,482.25/x
  3. Step 3: Cross multiply
    473,217.75x = 1,005,482.25 × 1,005,482.25
  4. Step 4: Simplify right side
    473,217.75x = 1,010,994,555,065.06
  5. Step 5: Solve for x
    x = 1,010,994,555,065.06/473,217.75
  6. Step 6: Final answer
    x = 2,136,425.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.