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Finding the Third Proportional to 460,340 and 1,004,320

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Solution

The third proportional to 460,340 and 1,004,320 is: 2,191,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,340 : 1,004,320 = 1,004,320 : x
  2. Step 2: Convert to fraction form
    460,340/1,004,320 = 1,004,320/x
  3. Step 3: Cross multiply
    460,340x = 1,004,320 × 1,004,320
  4. Step 4: Simplify right side
    460,340x = 1,008,658,662,400
  5. Step 5: Solve for x
    x = 1,008,658,662,400/460,340
  6. Step 6: Final answer
    x = 2,191,116.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.