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Finding the Third Proportional to 625,106 and 963,597

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Solution

The third proportional to 625,106 and 963,597 is: 1,485,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,106 : 963,597 = 963,597 : x
  2. Step 2: Convert to fraction form
    625,106/963,597 = 963,597/x
  3. Step 3: Cross multiply
    625,106x = 963,597 × 963,597
  4. Step 4: Simplify right side
    625,106x = 928,519,178,409
  5. Step 5: Solve for x
    x = 928,519,178,409/625,106
  6. Step 6: Final answer
    x = 1,485,378.77

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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.