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Finding the Third Proportional to 520,774,662 and 1,114,030,394

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Solution

The third proportional to 520,774,662 and 1,114,030,394 is: 2,383,110,794.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,774,662 : 1,114,030,394 = 1,114,030,394 : x
  2. Step 2: Convert to fraction form
    520,774,662/1,114,030,394 = 1,114,030,394/x
  3. Step 3: Cross multiply
    520,774,662x = 1,114,030,394 × 1,114,030,394
  4. Step 4: Simplify right side
    520,774,662x = 1,241,063,718,755,795,200
  5. Step 5: Solve for x
    x = 1,241,063,718,755,795,200/520,774,662
  6. Step 6: Final answer
    x = 2,383,110,794.96

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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.