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Finding the Third Proportional to 460,610 and 996,669

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Solution

The third proportional to 460,610 and 996,669 is: 2,156,594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,610 : 996,669 = 996,669 : x
  2. Step 2: Convert to fraction form
    460,610/996,669 = 996,669/x
  3. Step 3: Cross multiply
    460,610x = 996,669 × 996,669
  4. Step 4: Simplify right side
    460,610x = 993,349,095,561
  5. Step 5: Solve for x
    x = 993,349,095,561/460,610
  6. Step 6: Final answer
    x = 2,156,594.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.