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Finding the Third Proportional to 804,830 and 1,705,600

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Solution

The third proportional to 804,830 and 1,705,600 is: 3,614,516.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,830 : 1,705,600 = 1,705,600 : x
  2. Step 2: Convert to fraction form
    804,830/1,705,600 = 1,705,600/x
  3. Step 3: Cross multiply
    804,830x = 1,705,600 × 1,705,600
  4. Step 4: Simplify right side
    804,830x = 2,909,071,360,000
  5. Step 5: Solve for x
    x = 2,909,071,360,000/804,830
  6. Step 6: Final answer
    x = 3,614,516.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.