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Finding the Third Proportional to 596,823,569 and 1,284,346,405

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Solution

The third proportional to 596,823,569 and 1,284,346,405 is: 2,763,874,909.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,823,569 : 1,284,346,405 = 1,284,346,405 : x
  2. Step 2: Convert to fraction form
    596,823,569/1,284,346,405 = 1,284,346,405/x
  3. Step 3: Cross multiply
    596,823,569x = 1,284,346,405 × 1,284,346,405
  4. Step 4: Simplify right side
    596,823,569x = 1,649,545,688,036,423,936
  5. Step 5: Solve for x
    x = 1,649,545,688,036,423,936/596,823,569
  6. Step 6: Final answer
    x = 2,763,874,909.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.