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Finding the Third Proportional to 601,554 and 846,371

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Solution

The third proportional to 601,554 and 846,371 is: 1,190,822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,554 : 846,371 = 846,371 : x
  2. Step 2: Convert to fraction form
    601,554/846,371 = 846,371/x
  3. Step 3: Cross multiply
    601,554x = 846,371 × 846,371
  4. Step 4: Simplify right side
    601,554x = 716,343,869,641
  5. Step 5: Solve for x
    x = 716,343,869,641/601,554
  6. Step 6: Final answer
    x = 1,190,822.22

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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.