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Finding the Third Proportional to 689,089,270 and 1,059,180,036

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Solution

The third proportional to 689,089,270 and 1,059,180,036 is: 1,628,036,304.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,089,270 : 1,059,180,036 = 1,059,180,036 : x
  2. Step 2: Convert to fraction form
    689,089,270/1,059,180,036 = 1,059,180,036/x
  3. Step 3: Cross multiply
    689,089,270x = 1,059,180,036 × 1,059,180,036
  4. Step 4: Simplify right side
    689,089,270x = 1,121,862,348,660,961,280
  5. Step 5: Solve for x
    x = 1,121,862,348,660,961,280/689,089,270
  6. Step 6: Final answer
    x = 1,628,036,304.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.