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Finding the Third Proportional to 389,089,496 and 607,190,340

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Solution

The third proportional to 389,089,496 and 607,190,340 is: 947,545,777.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,089,496 : 607,190,340 = 607,190,340 : x
  2. Step 2: Convert to fraction form
    389,089,496/607,190,340 = 607,190,340/x
  3. Step 3: Cross multiply
    389,089,496x = 607,190,340 × 607,190,340
  4. Step 4: Simplify right side
    389,089,496x = 368,680,108,989,315,584
  5. Step 5: Solve for x
    x = 368,680,108,989,315,584/389,089,496
  6. Step 6: Final answer
    x = 947,545,777.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.