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Finding the Third Proportional to 831,688 and 1,287,276

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Solution

The third proportional to 831,688 and 1,287,276 is: 1,992,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,688 : 1,287,276 = 1,287,276 : x
  2. Step 2: Convert to fraction form
    831,688/1,287,276 = 1,287,276/x
  3. Step 3: Cross multiply
    831,688x = 1,287,276 × 1,287,276
  4. Step 4: Simplify right side
    831,688x = 1,657,079,500,176
  5. Step 5: Solve for x
    x = 1,657,079,500,176/831,688
  6. Step 6: Final answer
    x = 1,992,429.25

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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.