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Finding the Third Proportional to 984,882,861 and 1,536,950,669

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Solution

The third proportional to 984,882,861 and 1,536,950,669 is: 2,398,475,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,882,861 : 1,536,950,669 = 1,536,950,669 : x
  2. Step 2: Convert to fraction form
    984,882,861/1,536,950,669 = 1,536,950,669/x
  3. Step 3: Cross multiply
    984,882,861x = 1,536,950,669 × 1,536,950,669
  4. Step 4: Simplify right side
    984,882,861x = 2,362,217,358,939,547,648
  5. Step 5: Solve for x
    x = 2,362,217,358,939,547,648/984,882,861
  6. Step 6: Final answer
    x = 2,398,475,445.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.