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Finding the Third Proportional to 831,021 and 1,188,256.50

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Solution

The third proportional to 831,021 and 1,188,256.50 is: 1,699,058.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,021 : 1,188,256.50 = 1,188,256.50 : x
  2. Step 2: Convert to fraction form
    831,021/1,188,256.50 = 1,188,256.50/x
  3. Step 3: Cross multiply
    831,021x = 1,188,256.50 × 1,188,256.50
  4. Step 4: Simplify right side
    831,021x = 1,411,953,509,792.25
  5. Step 5: Solve for x
    x = 1,411,953,509,792.25/831,021
  6. Step 6: Final answer
    x = 1,699,058.76

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.