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Finding the Third Proportional to 404,202,929 and 877,011,784

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Solution

The third proportional to 404,202,929 and 877,011,784 is: 1,902,879,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,202,929 : 877,011,784 = 877,011,784 : x
  2. Step 2: Convert to fraction form
    404,202,929/877,011,784 = 877,011,784/x
  3. Step 3: Cross multiply
    404,202,929x = 877,011,784 × 877,011,784
  4. Step 4: Simplify right side
    404,202,929x = 769,149,669,274,862,592
  5. Step 5: Solve for x
    x = 769,149,669,274,862,592/404,202,929
  6. Step 6: Final answer
    x = 1,902,879,999.36

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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.