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Finding the Third Proportional to 389,089,524 and 607,190,386

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Solution

The third proportional to 389,089,524 and 607,190,386 is: 947,545,852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,089,524 : 607,190,386 = 607,190,386 : x
  2. Step 2: Convert to fraction form
    389,089,524/607,190,386 = 607,190,386/x
  3. Step 3: Cross multiply
    389,089,524x = 607,190,386 × 607,190,386
  4. Step 4: Simplify right side
    389,089,524x = 368,680,164,850,828,992
  5. Step 5: Solve for x
    x = 368,680,164,850,828,992/389,089,524
  6. Step 6: Final answer
    x = 947,545,852.84

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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.