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Finding the Third Proportional to 811,640 and 1,735,840

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Solution

The third proportional to 811,640 and 1,735,840 is: 3,712,410.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,640 : 1,735,840 = 1,735,840 : x
  2. Step 2: Convert to fraction form
    811,640/1,735,840 = 1,735,840/x
  3. Step 3: Cross multiply
    811,640x = 1,735,840 × 1,735,840
  4. Step 4: Simplify right side
    811,640x = 3,013,140,505,600
  5. Step 5: Solve for x
    x = 3,013,140,505,600/811,640
  6. Step 6: Final answer
    x = 3,712,410.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.