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Finding the Third Proportional to 2,058,720 and 4,460,928

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Solution

The third proportional to 2,058,720 and 4,460,928 is: 9,666,141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058,720 : 4,460,928 = 4,460,928 : x
  2. Step 2: Convert to fraction form
    2,058,720/4,460,928 = 4,460,928/x
  3. Step 3: Cross multiply
    2,058,720x = 4,460,928 × 4,460,928
  4. Step 4: Simplify right side
    2,058,720x = 19,899,878,621,184
  5. Step 5: Solve for x
    x = 19,899,878,621,184/2,058,720
  6. Step 6: Final answer
    x = 9,666,141.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.