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Finding the Third Proportional to 611,712 and 899,717.63

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Solution

The third proportional to 611,712 and 899,717.63 is: 1,323,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,712 : 899,717.63 = 899,717.63 : x
  2. Step 2: Convert to fraction form
    611,712/899,717.63 = 899,717.63/x
  3. Step 3: Cross multiply
    611,712x = 899,717.63 × 899,717.63
  4. Step 4: Simplify right side
    611,712x = 809,491,804,735.64
  5. Step 5: Solve for x
    x = 809,491,804,735.64/611,712
  6. Step 6: Final answer
    x = 1,323,321.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.