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Finding the Third Proportional to 830,918.25 and 1,807,421.98

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Solution

The third proportional to 830,918.25 and 1,807,421.98 is: 3,931,522.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,918.25 : 1,807,421.98 = 1,807,421.98 : x
  2. Step 2: Convert to fraction form
    830,918.25/1,807,421.98 = 1,807,421.98/x
  3. Step 3: Cross multiply
    830,918.25x = 1,807,421.98 × 1,807,421.98
  4. Step 4: Simplify right side
    830,918.25x = 3,266,774,201,361.09
  5. Step 5: Solve for x
    x = 3,266,774,201,361.09/830,918.25
  6. Step 6: Final answer
    x = 3,931,522.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.