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Finding the Third Proportional to 536,492 and 1,097,587

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Solution

The third proportional to 536,492 and 1,097,587 is: 2,245,508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,492 : 1,097,587 = 1,097,587 : x
  2. Step 2: Convert to fraction form
    536,492/1,097,587 = 1,097,587/x
  3. Step 3: Cross multiply
    536,492x = 1,097,587 × 1,097,587
  4. Step 4: Simplify right side
    536,492x = 1,204,697,222,569
  5. Step 5: Solve for x
    x = 1,204,697,222,569/536,492
  6. Step 6: Final answer
    x = 2,245,508.27

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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.