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Finding the Third Proportional to 413,879,772 and 575,460,954

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Solution

The third proportional to 413,879,772 and 575,460,954 is: 800,124,412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,879,772 : 575,460,954 = 575,460,954 : x
  2. Step 2: Convert to fraction form
    413,879,772/575,460,954 = 575,460,954/x
  3. Step 3: Cross multiply
    413,879,772x = 575,460,954 × 575,460,954
  4. Step 4: Simplify right side
    413,879,772x = 331,155,309,578,590,144
  5. Step 5: Solve for x
    x = 331,155,309,578,590,144/413,879,772
  6. Step 6: Final answer
    x = 800,124,412.89

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.