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Finding the Third Proportional to 344,574,164 and 756,098,959

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Solution

The third proportional to 344,574,164 and 756,098,959 is: 1,659,107,662.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,574,164 : 756,098,959 = 756,098,959 : x
  2. Step 2: Convert to fraction form
    344,574,164/756,098,959 = 756,098,959/x
  3. Step 3: Cross multiply
    344,574,164x = 756,098,959 × 756,098,959
  4. Step 4: Simplify right side
    344,574,164x = 571,685,635,800,883,712
  5. Step 5: Solve for x
    x = 571,685,635,800,883,712/344,574,164
  6. Step 6: Final answer
    x = 1,659,107,662.53

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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.