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Finding the Third Proportional to 850,476 and 1,315,899

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Solution

The third proportional to 850,476 and 1,315,899 is: 2,036,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,476 : 1,315,899 = 1,315,899 : x
  2. Step 2: Convert to fraction form
    850,476/1,315,899 = 1,315,899/x
  3. Step 3: Cross multiply
    850,476x = 1,315,899 × 1,315,899
  4. Step 4: Simplify right side
    850,476x = 1,731,590,178,201
  5. Step 5: Solve for x
    x = 1,731,590,178,201/850,476
  6. Step 6: Final answer
    x = 2,036,024.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.