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Finding the Third Proportional to 1,580,394 and 3,348,870

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Solution

The third proportional to 1,580,394 and 3,348,870 is: 7,096,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,394 : 3,348,870 = 3,348,870 : x
  2. Step 2: Convert to fraction form
    1,580,394/3,348,870 = 3,348,870/x
  3. Step 3: Cross multiply
    1,580,394x = 3,348,870 × 3,348,870
  4. Step 4: Simplify right side
    1,580,394x = 11,214,930,276,900
  5. Step 5: Solve for x
    x = 11,214,930,276,900/1,580,394
  6. Step 6: Final answer
    x = 7,096,287.56

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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.