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Finding the Third Proportional to 831,276 and 1,338,714

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Solution

The third proportional to 831,276 and 1,338,714 is: 2,155,908.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,276 : 1,338,714 = 1,338,714 : x
  2. Step 2: Convert to fraction form
    831,276/1,338,714 = 1,338,714/x
  3. Step 3: Cross multiply
    831,276x = 1,338,714 × 1,338,714
  4. Step 4: Simplify right side
    831,276x = 1,792,155,173,796
  5. Step 5: Solve for x
    x = 1,792,155,173,796/831,276
  6. Step 6: Final answer
    x = 2,155,908.72

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.