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Finding the Third Proportional to 300,497,514 and 652,723,969

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Solution

The third proportional to 300,497,514 and 652,723,969 is: 1,417,810,663.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,497,514 : 652,723,969 = 652,723,969 : x
  2. Step 2: Convert to fraction form
    300,497,514/652,723,969 = 652,723,969/x
  3. Step 3: Cross multiply
    300,497,514x = 652,723,969 × 652,723,969
  4. Step 4: Simplify right side
    300,497,514x = 426,048,579,707,112,960
  5. Step 5: Solve for x
    x = 426,048,579,707,112,960/300,497,514
  6. Step 6: Final answer
    x = 1,417,810,663.51

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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.