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Finding the Third Proportional to 625,104 and 963,594

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Solution

The third proportional to 625,104 and 963,594 is: 1,485,374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,104 : 963,594 = 963,594 : x
  2. Step 2: Convert to fraction form
    625,104/963,594 = 963,594/x
  3. Step 3: Cross multiply
    625,104x = 963,594 × 963,594
  4. Step 4: Simplify right side
    625,104x = 928,513,396,836
  5. Step 5: Solve for x
    x = 928,513,396,836/625,104
  6. Step 6: Final answer
    x = 1,485,374.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.