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Finding the Third Proportional to 501,839,766 and 705,453,033

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Solution

The third proportional to 501,839,766 and 705,453,033 is: 991,679,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,839,766 : 705,453,033 = 705,453,033 : x
  2. Step 2: Convert to fraction form
    501,839,766/705,453,033 = 705,453,033/x
  3. Step 3: Cross multiply
    501,839,766x = 705,453,033 × 705,453,033
  4. Step 4: Simplify right side
    501,839,766x = 497,663,981,768,899,072
  5. Step 5: Solve for x
    x = 497,663,981,768,899,072/501,839,766
  6. Step 6: Final answer
    x = 991,679,048.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.