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Finding the Third Proportional to 536,767 and 1,157,604

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Solution

The third proportional to 536,767 and 1,157,604 is: 2,496,515.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,767 : 1,157,604 = 1,157,604 : x
  2. Step 2: Convert to fraction form
    536,767/1,157,604 = 1,157,604/x
  3. Step 3: Cross multiply
    536,767x = 1,157,604 × 1,157,604
  4. Step 4: Simplify right side
    536,767x = 1,340,047,020,816
  5. Step 5: Solve for x
    x = 1,340,047,020,816/536,767
  6. Step 6: Final answer
    x = 2,496,515.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.