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Finding the Third Proportional to 4,856,584 and 7,127,412

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Solution

The third proportional to 4,856,584 and 7,127,412 is: 10,460,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856,584 : 7,127,412 = 7,127,412 : x
  2. Step 2: Convert to fraction form
    4,856,584/7,127,412 = 7,127,412/x
  3. Step 3: Cross multiply
    4,856,584x = 7,127,412 × 7,127,412
  4. Step 4: Simplify right side
    4,856,584x = 50,800,001,817,744
  5. Step 5: Solve for x
    x = 50,800,001,817,744/4,856,584
  6. Step 6: Final answer
    x = 10,460,027.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.