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Finding the Third Proportional to 446,946,036 and 689,549,964

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Solution

The third proportional to 446,946,036 and 689,549,964 is: 1,063,840,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,946,036 : 689,549,964 = 689,549,964 : x
  2. Step 2: Convert to fraction form
    446,946,036/689,549,964 = 689,549,964/x
  3. Step 3: Cross multiply
    446,946,036x = 689,549,964 × 689,549,964
  4. Step 4: Simplify right side
    446,946,036x = 475,479,152,852,401,280
  5. Step 5: Solve for x
    x = 475,479,152,852,401,280/446,946,036
  6. Step 6: Final answer
    x = 1,063,840,183.28

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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.