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Finding the Third Proportional to 446,928,066 and 697,548,521.25

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Solution

The third proportional to 446,928,066 and 697,548,521.25 is: 1,088,707,504.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,928,066 : 697,548,521.25 = 697,548,521.25 : x
  2. Step 2: Convert to fraction form
    446,928,066/697,548,521.25 = 697,548,521.25/x
  3. Step 3: Cross multiply
    446,928,066x = 697,548,521.25 × 697,548,521.25
  4. Step 4: Simplify right side
    446,928,066x = 486,573,939,498,061,696
  5. Step 5: Solve for x
    x = 486,573,939,498,061,696/446,928,066
  6. Step 6: Final answer
    x = 1,088,707,504.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.