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Finding the Third Proportional to 446,076,306 and 966,289,800

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Solution

The third proportional to 446,076,306 and 966,289,800 is: 2,093,175,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,076,306 : 966,289,800 = 966,289,800 : x
  2. Step 2: Convert to fraction form
    446,076,306/966,289,800 = 966,289,800/x
  3. Step 3: Cross multiply
    446,076,306x = 966,289,800 × 966,289,800
  4. Step 4: Simplify right side
    446,076,306x = 933,715,977,584,039,936
  5. Step 5: Solve for x
    x = 933,715,977,584,039,936/446,076,306
  6. Step 6: Final answer
    x = 2,093,175,461.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.