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Finding the Third Proportional to 398,170,788 and 828,125,968

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Solution

The third proportional to 398,170,788 and 828,125,968 is: 1,722,357,941.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,170,788 : 828,125,968 = 828,125,968 : x
  2. Step 2: Convert to fraction form
    398,170,788/828,125,968 = 828,125,968/x
  3. Step 3: Cross multiply
    398,170,788x = 828,125,968 × 828,125,968
  4. Step 4: Simplify right side
    398,170,788x = 685,792,618,875,937,024
  5. Step 5: Solve for x
    x = 685,792,618,875,937,024/398,170,788
  6. Step 6: Final answer
    x = 1,722,357,941.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.