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Finding the Third Proportional to 460,479,206 and 708,504,087

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Solution

The third proportional to 460,479,206 and 708,504,087 is: 1,090,120,975.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,479,206 : 708,504,087 = 708,504,087 : x
  2. Step 2: Convert to fraction form
    460,479,206/708,504,087 = 708,504,087/x
  3. Step 3: Cross multiply
    460,479,206x = 708,504,087 × 708,504,087
  4. Step 4: Simplify right side
    460,479,206x = 501,978,041,295,703,552
  5. Step 5: Solve for x
    x = 501,978,041,295,703,552/460,479,206
  6. Step 6: Final answer
    x = 1,090,120,975.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.