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Finding the Third Proportional to 803,900 and 1,758,460

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Solution

The third proportional to 803,900 and 1,758,460 is: 3,846,475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,900 : 1,758,460 = 1,758,460 : x
  2. Step 2: Convert to fraction form
    803,900/1,758,460 = 1,758,460/x
  3. Step 3: Cross multiply
    803,900x = 1,758,460 × 1,758,460
  4. Step 4: Simplify right side
    803,900x = 3,092,181,571,600
  5. Step 5: Solve for x
    x = 3,092,181,571,600/803,900
  6. Step 6: Final answer
    x = 3,846,475.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.