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Finding the Third Proportional to 563,140 and 1,135,496

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Solution

The third proportional to 563,140 and 1,135,496 is: 2,289,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,140 : 1,135,496 = 1,135,496 : x
  2. Step 2: Convert to fraction form
    563,140/1,135,496 = 1,135,496/x
  3. Step 3: Cross multiply
    563,140x = 1,135,496 × 1,135,496
  4. Step 4: Simplify right side
    563,140x = 1,289,351,166,016
  5. Step 5: Solve for x
    x = 1,289,351,166,016/563,140
  6. Step 6: Final answer
    x = 2,289,574.82

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.