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Finding the Third Proportional to 536,490 and 1,097,583

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Solution

The third proportional to 536,490 and 1,097,583 is: 2,245,500.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,490 : 1,097,583 = 1,097,583 : x
  2. Step 2: Convert to fraction form
    536,490/1,097,583 = 1,097,583/x
  3. Step 3: Cross multiply
    536,490x = 1,097,583 × 1,097,583
  4. Step 4: Simplify right side
    536,490x = 1,204,688,441,889
  5. Step 5: Solve for x
    x = 1,204,688,441,889/536,490
  6. Step 6: Final answer
    x = 2,245,500.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.