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Finding the Third Proportional to 846,210 and 1,831,748

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Solution

The third proportional to 846,210 and 1,831,748 is: 3,965,092.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,210 : 1,831,748 = 1,831,748 : x
  2. Step 2: Convert to fraction form
    846,210/1,831,748 = 1,831,748/x
  3. Step 3: Cross multiply
    846,210x = 1,831,748 × 1,831,748
  4. Step 4: Simplify right side
    846,210x = 3,355,300,735,504
  5. Step 5: Solve for x
    x = 3,355,300,735,504/846,210
  6. Step 6: Final answer
    x = 3,965,092.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.