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Finding the Third Proportional to 520,370,784 and 1,131,437,376

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Solution

The third proportional to 520,370,784 and 1,131,437,376 is: 2,460,073,807.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,370,784 : 1,131,437,376 = 1,131,437,376 : x
  2. Step 2: Convert to fraction form
    520,370,784/1,131,437,376 = 1,131,437,376/x
  3. Step 3: Cross multiply
    520,370,784x = 1,131,437,376 × 1,131,437,376
  4. Step 4: Simplify right side
    520,370,784x = 1,280,150,535,809,765,376
  5. Step 5: Solve for x
    x = 1,280,150,535,809,765,376/520,370,784
  6. Step 6: Final answer
    x = 2,460,073,807.31

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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.