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Finding the Third Proportional to 593,907 and 1,295,013

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Solution

The third proportional to 593,907 and 1,295,013 is: 2,823,773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,907 : 1,295,013 = 1,295,013 : x
  2. Step 2: Convert to fraction form
    593,907/1,295,013 = 1,295,013/x
  3. Step 3: Cross multiply
    593,907x = 1,295,013 × 1,295,013
  4. Step 4: Simplify right side
    593,907x = 1,677,058,670,169
  5. Step 5: Solve for x
    x = 1,677,058,670,169/593,907
  6. Step 6: Final answer
    x = 2,823,773.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.