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Finding the Third Proportional to 643,734 and 973,883

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Solution

The third proportional to 643,734 and 973,883 is: 1,473,354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,734 : 973,883 = 973,883 : x
  2. Step 2: Convert to fraction form
    643,734/973,883 = 973,883/x
  3. Step 3: Cross multiply
    643,734x = 973,883 × 973,883
  4. Step 4: Simplify right side
    643,734x = 948,448,097,689
  5. Step 5: Solve for x
    x = 948,448,097,689/643,734
  6. Step 6: Final answer
    x = 1,473,354.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.