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Finding the Third Proportional to 402,501,184 and 601,345,098

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Solution

The third proportional to 402,501,184 and 601,345,098 is: 898,422,020.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,501,184 : 601,345,098 = 601,345,098 : x
  2. Step 2: Convert to fraction form
    402,501,184/601,345,098 = 601,345,098/x
  3. Step 3: Cross multiply
    402,501,184x = 601,345,098 × 601,345,098
  4. Step 4: Simplify right side
    402,501,184x = 361,615,926,888,629,632
  5. Step 5: Solve for x
    x = 361,615,926,888,629,632/402,501,184
  6. Step 6: Final answer
    x = 898,422,020.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.