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Finding the Third Proportional to 850,371 and 1,316,634

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Solution

The third proportional to 850,371 and 1,316,634 is: 2,038,551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,371 : 1,316,634 = 1,316,634 : x
  2. Step 2: Convert to fraction form
    850,371/1,316,634 = 1,316,634/x
  3. Step 3: Cross multiply
    850,371x = 1,316,634 × 1,316,634
  4. Step 4: Simplify right side
    850,371x = 1,733,525,089,956
  5. Step 5: Solve for x
    x = 1,733,525,089,956/850,371
  6. Step 6: Final answer
    x = 2,038,551.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.