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Finding the Third Proportional to 625,124 and 968,574

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Solution

The third proportional to 625,124 and 968,574 is: 1,500,719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,124 : 968,574 = 968,574 : x
  2. Step 2: Convert to fraction form
    625,124/968,574 = 968,574/x
  3. Step 3: Cross multiply
    625,124x = 968,574 × 968,574
  4. Step 4: Simplify right side
    625,124x = 938,135,593,476
  5. Step 5: Solve for x
    x = 938,135,593,476/625,124
  6. Step 6: Final answer
    x = 1,500,719.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.