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Finding the Third Proportional to 611,516 and 899,283

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Solution

The third proportional to 611,516 and 899,283 is: 1,322,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,516 : 899,283 = 899,283 : x
  2. Step 2: Convert to fraction form
    611,516/899,283 = 899,283/x
  3. Step 3: Cross multiply
    611,516x = 899,283 × 899,283
  4. Step 4: Simplify right side
    611,516x = 808,709,914,089
  5. Step 5: Solve for x
    x = 808,709,914,089/611,516
  6. Step 6: Final answer
    x = 1,322,467.30

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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.