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Finding the Third Proportional to 685,738,234 and 1,502,484,976

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Solution

The third proportional to 685,738,234 and 1,502,484,976 is: 3,292,015,803.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,738,234 : 1,502,484,976 = 1,502,484,976 : x
  2. Step 2: Convert to fraction form
    685,738,234/1,502,484,976 = 1,502,484,976/x
  3. Step 3: Cross multiply
    685,738,234x = 1,502,484,976 × 1,502,484,976
  4. Step 4: Simplify right side
    685,738,234x = 2,257,461,103,105,720,576
  5. Step 5: Solve for x
    x = 2,257,461,103,105,720,576/685,738,234
  6. Step 6: Final answer
    x = 3,292,015,803.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.