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Finding the Third Proportional to 621,806 and 912,297

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Solution

The third proportional to 621,806 and 912,297 is: 1,338,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,806 : 912,297 = 912,297 : x
  2. Step 2: Convert to fraction form
    621,806/912,297 = 912,297/x
  3. Step 3: Cross multiply
    621,806x = 912,297 × 912,297
  4. Step 4: Simplify right side
    621,806x = 832,285,816,209
  5. Step 5: Solve for x
    x = 832,285,816,209/621,806
  6. Step 6: Final answer
    x = 1,338,497.56

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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.