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Finding the Third Proportional to 591,620 and 846,023

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Solution

The third proportional to 591,620 and 846,023 is: 1,209,822.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,620 : 846,023 = 846,023 : x
  2. Step 2: Convert to fraction form
    591,620/846,023 = 846,023/x
  3. Step 3: Cross multiply
    591,620x = 846,023 × 846,023
  4. Step 4: Simplify right side
    591,620x = 715,754,916,529
  5. Step 5: Solve for x
    x = 715,754,916,529/591,620
  6. Step 6: Final answer
    x = 1,209,822.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.