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Finding the Third Proportional to 539,102,802 and 770,390,447

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Solution

The third proportional to 539,102,802 and 770,390,447 is: 1,100,905,872.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,102,802 : 770,390,447 = 770,390,447 : x
  2. Step 2: Convert to fraction form
    539,102,802/770,390,447 = 770,390,447/x
  3. Step 3: Cross multiply
    539,102,802x = 770,390,447 × 770,390,447
  4. Step 4: Simplify right side
    539,102,802x = 593,501,440,828,859,776
  5. Step 5: Solve for x
    x = 593,501,440,828,859,776/539,102,802
  6. Step 6: Final answer
    x = 1,100,905,872.92

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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.