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Finding the Third Proportional to 520,837,512 and 1,113,304,700

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Solution

The third proportional to 520,837,512 and 1,113,304,700 is: 2,379,719,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,837,512 : 1,113,304,700 = 1,113,304,700 : x
  2. Step 2: Convert to fraction form
    520,837,512/1,113,304,700 = 1,113,304,700/x
  3. Step 3: Cross multiply
    520,837,512x = 1,113,304,700 × 1,113,304,700
  4. Step 4: Simplify right side
    520,837,512x = 1,239,447,355,042,089,984
  5. Step 5: Solve for x
    x = 1,239,447,355,042,089,984/520,837,512
  6. Step 6: Final answer
    x = 2,379,719,829.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.