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Finding the Third Proportional to 652,336 and 918,633

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Solution

The third proportional to 652,336 and 918,633 is: 1,293,637.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,336 : 918,633 = 918,633 : x
  2. Step 2: Convert to fraction form
    652,336/918,633 = 918,633/x
  3. Step 3: Cross multiply
    652,336x = 918,633 × 918,633
  4. Step 4: Simplify right side
    652,336x = 843,886,588,689
  5. Step 5: Solve for x
    x = 843,886,588,689/652,336
  6. Step 6: Final answer
    x = 1,293,637.92

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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.