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Finding the Third Proportional to 460,882,644 and 673,826,535

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Solution

The third proportional to 460,882,644 and 673,826,535 is: 985,157,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,882,644 : 673,826,535 = 673,826,535 : x
  2. Step 2: Convert to fraction form
    460,882,644/673,826,535 = 673,826,535/x
  3. Step 3: Cross multiply
    460,882,644x = 673,826,535 × 673,826,535
  4. Step 4: Simplify right side
    460,882,644x = 454,042,199,270,106,240
  5. Step 5: Solve for x
    x = 454,042,199,270,106,240/460,882,644
  6. Step 6: Final answer
    x = 985,157,946.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.