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Finding the Third Proportional to 910,975.50 and 1,297,701

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Solution

The third proportional to 910,975.50 and 1,297,701 is: 1,848,598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,975.50 : 1,297,701 = 1,297,701 : x
  2. Step 2: Convert to fraction form
    910,975.50/1,297,701 = 1,297,701/x
  3. Step 3: Cross multiply
    910,975.50x = 1,297,701 × 1,297,701
  4. Step 4: Simplify right side
    910,975.50x = 1,684,027,885,401
  5. Step 5: Solve for x
    x = 1,684,027,885,401/910,975.50
  6. Step 6: Final answer
    x = 1,848,598.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.