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Finding the Third Proportional to 556,871 and 848,364

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Solution

The third proportional to 556,871 and 848,364 is: 1,292,438.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,871 : 848,364 = 848,364 : x
  2. Step 2: Convert to fraction form
    556,871/848,364 = 848,364/x
  3. Step 3: Cross multiply
    556,871x = 848,364 × 848,364
  4. Step 4: Simplify right side
    556,871x = 719,721,476,496
  5. Step 5: Solve for x
    x = 719,721,476,496/556,871
  6. Step 6: Final answer
    x = 1,292,438.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.