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Finding the Third Proportional to 692,943 and 1,036,589

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Solution

The third proportional to 692,943 and 1,036,589 is: 1,550,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,943 : 1,036,589 = 1,036,589 : x
  2. Step 2: Convert to fraction form
    692,943/1,036,589 = 1,036,589/x
  3. Step 3: Cross multiply
    692,943x = 1,036,589 × 1,036,589
  4. Step 4: Simplify right side
    692,943x = 1,074,516,754,921
  5. Step 5: Solve for x
    x = 1,074,516,754,921/692,943
  6. Step 6: Final answer
    x = 1,550,656.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.