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Finding the Third Proportional to 460,332 and 984,624

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Solution

The third proportional to 460,332 and 984,624 is: 2,106,054.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,332 : 984,624 = 984,624 : x
  2. Step 2: Convert to fraction form
    460,332/984,624 = 984,624/x
  3. Step 3: Cross multiply
    460,332x = 984,624 × 984,624
  4. Step 4: Simplify right side
    460,332x = 969,484,421,376
  5. Step 5: Solve for x
    x = 969,484,421,376/460,332
  6. Step 6: Final answer
    x = 2,106,054.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.