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Finding the Third Proportional to 501,537,228 and 774,665,586

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Solution

The third proportional to 501,537,228 and 774,665,586 is: 1,196,534,846.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,537,228 : 774,665,586 = 774,665,586 : x
  2. Step 2: Convert to fraction form
    501,537,228/774,665,586 = 774,665,586/x
  3. Step 3: Cross multiply
    501,537,228x = 774,665,586 × 774,665,586
  4. Step 4: Simplify right side
    501,537,228x = 600,106,770,132,723,456
  5. Step 5: Solve for x
    x = 600,106,770,132,723,456/501,537,228
  6. Step 6: Final answer
    x = 1,196,534,846.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.