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Finding the Third Proportional to 460,882,541 and 673,826,385

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Solution

The third proportional to 460,882,541 and 673,826,385 is: 985,157,728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,882,541 : 673,826,385 = 673,826,385 : x
  2. Step 2: Convert to fraction form
    460,882,541/673,826,385 = 673,826,385/x
  3. Step 3: Cross multiply
    460,882,541x = 673,826,385 × 673,826,385
  4. Step 4: Simplify right side
    460,882,541x = 454,041,997,122,168,256
  5. Step 5: Solve for x
    x = 454,041,997,122,168,256/460,882,541
  6. Step 6: Final answer
    x = 985,157,728.34

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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.