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Finding the Third Proportional to 709,095,026 and 1,089,256,787

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Solution

The third proportional to 709,095,026 and 1,089,256,787 is: 1,673,231,801.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,095,026 : 1,089,256,787 = 1,089,256,787 : x
  2. Step 2: Convert to fraction form
    709,095,026/1,089,256,787 = 1,089,256,787/x
  3. Step 3: Cross multiply
    709,095,026x = 1,089,256,787 × 1,089,256,787
  4. Step 4: Simplify right side
    709,095,026x = 1,186,480,348,025,563,392
  5. Step 5: Solve for x
    x = 1,186,480,348,025,563,392/709,095,026
  6. Step 6: Final answer
    x = 1,673,231,801.83

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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.