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Finding the Third Proportional to 709,094,978 and 1,089,256,707

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Solution

The third proportional to 709,094,978 and 1,089,256,707 is: 1,673,231,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,094,978 : 1,089,256,707 = 1,089,256,707 : x
  2. Step 2: Convert to fraction form
    709,094,978/1,089,256,707 = 1,089,256,707/x
  3. Step 3: Cross multiply
    709,094,978x = 1,089,256,707 × 1,089,256,707
  4. Step 4: Simplify right side
    709,094,978x = 1,186,480,173,744,483,840
  5. Step 5: Solve for x
    x = 1,186,480,173,744,483,840/709,094,978
  6. Step 6: Final answer
    x = 1,673,231,669.32

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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.