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Finding the Third Proportional to 460,882,672 and 673,826,574

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Solution

The third proportional to 460,882,672 and 673,826,574 is: 985,158,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,882,672 : 673,826,574 = 673,826,574 : x
  2. Step 2: Convert to fraction form
    460,882,672/673,826,574 = 673,826,574/x
  3. Step 3: Cross multiply
    460,882,672x = 673,826,574 × 673,826,574
  4. Step 4: Simplify right side
    460,882,672x = 454,042,251,828,577,472
  5. Step 5: Solve for x
    x = 454,042,251,828,577,472/460,882,672
  6. Step 6: Final answer
    x = 985,158,000.97

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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.