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Finding the Third Proportional to 4,009,840 and 6,141,776

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Solution

The third proportional to 4,009,840 and 6,141,776 is: 9,407,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009,840 : 6,141,776 = 6,141,776 : x
  2. Step 2: Convert to fraction form
    4,009,840/6,141,776 = 6,141,776/x
  3. Step 3: Cross multiply
    4,009,840x = 6,141,776 × 6,141,776
  4. Step 4: Simplify right side
    4,009,840x = 37,721,412,434,176
  5. Step 5: Solve for x
    x = 37,721,412,434,176/4,009,840
  6. Step 6: Final answer
    x = 9,407,211.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.