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Finding the Third Proportional to 713,738,912 and 1,091,122,899

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Solution

The third proportional to 713,738,912 and 1,091,122,899 is: 1,668,045,780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,738,912 : 1,091,122,899 = 1,091,122,899 : x
  2. Step 2: Convert to fraction form
    713,738,912/1,091,122,899 = 1,091,122,899/x
  3. Step 3: Cross multiply
    713,738,912x = 1,091,122,899 × 1,091,122,899
  4. Step 4: Simplify right side
    713,738,912x = 1,190,549,180,722,164,224
  5. Step 5: Solve for x
    x = 1,190,549,180,722,164,224/713,738,912
  6. Step 6: Final answer
    x = 1,668,045,780.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.