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Finding the Third Proportional to 539,103,138 and 770,390,952

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Solution

The third proportional to 539,103,138 and 770,390,952 is: 1,100,906,630.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,103,138 : 770,390,952 = 770,390,952 : x
  2. Step 2: Convert to fraction form
    539,103,138/770,390,952 = 770,390,952/x
  3. Step 3: Cross multiply
    539,103,138x = 770,390,952 × 770,390,952
  4. Step 4: Simplify right side
    539,103,138x = 593,502,218,923,466,240
  5. Step 5: Solve for x
    x = 593,502,218,923,466,240/539,103,138
  6. Step 6: Final answer
    x = 1,100,906,630.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.