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Finding the Third Proportional to 563,852 and 1,174,357

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Solution

The third proportional to 563,852 and 1,174,357 is: 2,445,880.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,852 : 1,174,357 = 1,174,357 : x
  2. Step 2: Convert to fraction form
    563,852/1,174,357 = 1,174,357/x
  3. Step 3: Cross multiply
    563,852x = 1,174,357 × 1,174,357
  4. Step 4: Simplify right side
    563,852x = 1,379,114,363,449
  5. Step 5: Solve for x
    x = 1,379,114,363,449/563,852
  6. Step 6: Final answer
    x = 2,445,880.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.