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Finding the Third Proportional to 613,017 and 841,505

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Solution

The third proportional to 613,017 and 841,505 is: 1,155,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,017 : 841,505 = 841,505 : x
  2. Step 2: Convert to fraction form
    613,017/841,505 = 841,505/x
  3. Step 3: Cross multiply
    613,017x = 841,505 × 841,505
  4. Step 4: Simplify right side
    613,017x = 708,130,665,025
  5. Step 5: Solve for x
    x = 708,130,665,025/613,017
  6. Step 6: Final answer
    x = 1,155,156.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.