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Finding the Third Proportional to 593,088 and 1,235,328

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Solution

The third proportional to 593,088 and 1,235,328 is: 2,573,033.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,088 : 1,235,328 = 1,235,328 : x
  2. Step 2: Convert to fraction form
    593,088/1,235,328 = 1,235,328/x
  3. Step 3: Cross multiply
    593,088x = 1,235,328 × 1,235,328
  4. Step 4: Simplify right side
    593,088x = 1,526,035,267,584
  5. Step 5: Solve for x
    x = 1,526,035,267,584/593,088
  6. Step 6: Final answer
    x = 2,573,033.46

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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.