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Finding the Third Proportional to 433,051,704 and 1,021,924,512

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Solution

The third proportional to 433,051,704 and 1,021,924,512 is: 2,411,558,939.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,051,704 : 1,021,924,512 = 1,021,924,512 : x
  2. Step 2: Convert to fraction form
    433,051,704/1,021,924,512 = 1,021,924,512/x
  3. Step 3: Cross multiply
    433,051,704x = 1,021,924,512 × 1,021,924,512
  4. Step 4: Simplify right side
    433,051,704x = 1,044,329,708,226,438,144
  5. Step 5: Solve for x
    x = 1,044,329,708,226,438,144/433,051,704
  6. Step 6: Final answer
    x = 2,411,558,939.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.