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Finding the Third Proportional to 804,912 and 1,705,748

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Solution

The third proportional to 804,912 and 1,705,748 is: 3,614,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,912 : 1,705,748 = 1,705,748 : x
  2. Step 2: Convert to fraction form
    804,912/1,705,748 = 1,705,748/x
  3. Step 3: Cross multiply
    804,912x = 1,705,748 × 1,705,748
  4. Step 4: Simplify right side
    804,912x = 2,909,576,239,504
  5. Step 5: Solve for x
    x = 2,909,576,239,504/804,912
  6. Step 6: Final answer
    x = 3,614,775.58

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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.