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Finding the Third Proportional to 652,516 and 918,904

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Solution

The third proportional to 652,516 and 918,904 is: 1,294,044.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,516 : 918,904 = 918,904 : x
  2. Step 2: Convert to fraction form
    652,516/918,904 = 918,904/x
  3. Step 3: Cross multiply
    652,516x = 918,904 × 918,904
  4. Step 4: Simplify right side
    652,516x = 844,384,561,216
  5. Step 5: Solve for x
    x = 844,384,561,216/652,516
  6. Step 6: Final answer
    x = 1,294,044.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.