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Finding the Third Proportional to 344,574,144 and 756,098,919

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Solution

The third proportional to 344,574,144 and 756,098,919 is: 1,659,107,583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,574,144 : 756,098,919 = 756,098,919 : x
  2. Step 2: Convert to fraction form
    344,574,144/756,098,919 = 756,098,919/x
  3. Step 3: Cross multiply
    344,574,144x = 756,098,919 × 756,098,919
  4. Step 4: Simplify right side
    344,574,144x = 571,685,575,312,968,576
  5. Step 5: Solve for x
    x = 571,685,575,312,968,576/344,574,144
  6. Step 6: Final answer
    x = 1,659,107,583.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.