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Finding the Third Proportional to 777,516 and 1,217,032

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Solution

The third proportional to 777,516 and 1,217,032 is: 1,904,998.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,516 : 1,217,032 = 1,217,032 : x
  2. Step 2: Convert to fraction form
    777,516/1,217,032 = 1,217,032/x
  3. Step 3: Cross multiply
    777,516x = 1,217,032 × 1,217,032
  4. Step 4: Simplify right side
    777,516x = 1,481,166,889,024
  5. Step 5: Solve for x
    x = 1,481,166,889,024/777,516
  6. Step 6: Final answer
    x = 1,904,998.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.