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Finding the Third Proportional to 563,850 and 1,174,353

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Solution

The third proportional to 563,850 and 1,174,353 is: 2,445,872.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,850 : 1,174,353 = 1,174,353 : x
  2. Step 2: Convert to fraction form
    563,850/1,174,353 = 1,174,353/x
  3. Step 3: Cross multiply
    563,850x = 1,174,353 × 1,174,353
  4. Step 4: Simplify right side
    563,850x = 1,379,104,968,609
  5. Step 5: Solve for x
    x = 1,379,104,968,609/563,850
  6. Step 6: Final answer
    x = 2,445,872.07

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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.