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Finding the Third Proportional to 722,740 and 1,058,190

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Solution

The third proportional to 722,740 and 1,058,190 is: 1,549,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,740 : 1,058,190 = 1,058,190 : x
  2. Step 2: Convert to fraction form
    722,740/1,058,190 = 1,058,190/x
  3. Step 3: Cross multiply
    722,740x = 1,058,190 × 1,058,190
  4. Step 4: Simplify right side
    722,740x = 1,119,766,076,100
  5. Step 5: Solve for x
    x = 1,119,766,076,100/722,740
  6. Step 6: Final answer
    x = 1,549,334.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.