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Finding the Third Proportional to 1,473,978 and 3,125,106

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Solution

The third proportional to 1,473,978 and 3,125,106 is: 6,625,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473,978 : 3,125,106 = 3,125,106 : x
  2. Step 2: Convert to fraction form
    1,473,978/3,125,106 = 3,125,106/x
  3. Step 3: Cross multiply
    1,473,978x = 3,125,106 × 3,125,106
  4. Step 4: Simplify right side
    1,473,978x = 9,766,287,511,236
  5. Step 5: Solve for x
    x = 9,766,287,511,236/1,473,978
  6. Step 6: Final answer
    x = 6,625,802.77

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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.