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Finding the Third Proportional to 460,458 and 943,737

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Solution

The third proportional to 460,458 and 943,737 is: 1,934,247.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,458 : 943,737 = 943,737 : x
  2. Step 2: Convert to fraction form
    460,458/943,737 = 943,737/x
  3. Step 3: Cross multiply
    460,458x = 943,737 × 943,737
  4. Step 4: Simplify right side
    460,458x = 890,639,525,169
  5. Step 5: Solve for x
    x = 890,639,525,169/460,458
  6. Step 6: Final answer
    x = 1,934,247.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.