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Finding the Third Proportional to 689,089,275 and 1,059,180,043

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Solution

The third proportional to 689,089,275 and 1,059,180,043 is: 1,628,036,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,089,275 : 1,059,180,043 = 1,059,180,043 : x
  2. Step 2: Convert to fraction form
    689,089,275/1,059,180,043 = 1,059,180,043/x
  3. Step 3: Cross multiply
    689,089,275x = 1,059,180,043 × 1,059,180,043
  4. Step 4: Simplify right side
    689,089,275x = 1,121,862,363,489,481,856
  5. Step 5: Solve for x
    x = 1,121,862,363,489,481,856/689,089,275
  6. Step 6: Final answer
    x = 1,628,036,314.29

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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.