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Finding the Third Proportional to 4,869,125 and 7,598,471

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Solution

The third proportional to 4,869,125 and 7,598,471 is: 11,857,728.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869,125 : 7,598,471 = 7,598,471 : x
  2. Step 2: Convert to fraction form
    4,869,125/7,598,471 = 7,598,471/x
  3. Step 3: Cross multiply
    4,869,125x = 7,598,471 × 7,598,471
  4. Step 4: Simplify right side
    4,869,125x = 57,736,761,537,841
  5. Step 5: Solve for x
    x = 57,736,761,537,841/4,869,125
  6. Step 6: Final answer
    x = 11,857,728.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.