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Finding the Third Proportional to 405,577.13 and 938,886.19

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Solution

The third proportional to 405,577.13 and 938,886.19 is: 2,173,463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,577.13 : 938,886.19 = 938,886.19 : x
  2. Step 2: Convert to fraction form
    405,577.13/938,886.19 = 938,886.19/x
  3. Step 3: Cross multiply
    405,577.13x = 938,886.19 × 938,886.19
  4. Step 4: Simplify right side
    405,577.13x = 881,507,273,078.29
  5. Step 5: Solve for x
    x = 881,507,273,078.29/405,577.13
  6. Step 6: Final answer
    x = 2,173,463.98

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.