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Finding the Third Proportional to 848,806 and 1,153,461

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Solution

The third proportional to 848,806 and 1,153,461 is: 1,567,463.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,806 : 1,153,461 = 1,153,461 : x
  2. Step 2: Convert to fraction form
    848,806/1,153,461 = 1,153,461/x
  3. Step 3: Cross multiply
    848,806x = 1,153,461 × 1,153,461
  4. Step 4: Simplify right side
    848,806x = 1,330,472,278,521
  5. Step 5: Solve for x
    x = 1,330,472,278,521/848,806
  6. Step 6: Final answer
    x = 1,567,463.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.