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Finding the Third Proportional to 709,094,980 and 1,089,256,710

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Solution

The third proportional to 709,094,980 and 1,089,256,710 is: 1,673,231,673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,094,980 : 1,089,256,710 = 1,089,256,710 : x
  2. Step 2: Convert to fraction form
    709,094,980/1,089,256,710 = 1,089,256,710/x
  3. Step 3: Cross multiply
    709,094,980x = 1,089,256,710 × 1,089,256,710
  4. Step 4: Simplify right side
    709,094,980x = 1,186,480,180,280,024,064
  5. Step 5: Solve for x
    x = 1,186,480,180,280,024,064/709,094,980
  6. Step 6: Final answer
    x = 1,673,231,673.82

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