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Finding the Third Proportional to 520,837,525 and 1,113,304,726

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Solution

The third proportional to 520,837,525 and 1,113,304,726 is: 2,379,719,880.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,837,525 : 1,113,304,726 = 1,113,304,726 : x
  2. Step 2: Convert to fraction form
    520,837,525/1,113,304,726 = 1,113,304,726/x
  3. Step 3: Cross multiply
    520,837,525x = 1,113,304,726 × 1,113,304,726
  4. Step 4: Simplify right side
    520,837,525x = 1,239,447,412,933,935,104
  5. Step 5: Solve for x
    x = 1,239,447,412,933,935,104/520,837,525
  6. Step 6: Final answer
    x = 2,379,719,880.85

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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.