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Finding the Third Proportional to 563,844 and 1,174,341

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Solution

The third proportional to 563,844 and 1,174,341 is: 2,445,848.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,844 : 1,174,341 = 1,174,341 : x
  2. Step 2: Convert to fraction form
    563,844/1,174,341 = 1,174,341/x
  3. Step 3: Cross multiply
    563,844x = 1,174,341 × 1,174,341
  4. Step 4: Simplify right side
    563,844x = 1,379,076,784,281
  5. Step 5: Solve for x
    x = 1,379,076,784,281/563,844
  6. Step 6: Final answer
    x = 2,445,848.11

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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.