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Finding the Third Proportional to 460,316 and 984,596

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Solution

The third proportional to 460,316 and 984,596 is: 2,106,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,316 : 984,596 = 984,596 : x
  2. Step 2: Convert to fraction form
    460,316/984,596 = 984,596/x
  3. Step 3: Cross multiply
    460,316x = 984,596 × 984,596
  4. Step 4: Simplify right side
    460,316x = 969,429,283,216
  5. Step 5: Solve for x
    x = 969,429,283,216/460,316
  6. Step 6: Final answer
    x = 2,106,008.23

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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.