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Finding the Third Proportional to 1,319,838 and 2,058,633

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Solution

The third proportional to 1,319,838 and 2,058,633 is: 3,210,977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319,838 : 2,058,633 = 2,058,633 : x
  2. Step 2: Convert to fraction form
    1,319,838/2,058,633 = 2,058,633/x
  3. Step 3: Cross multiply
    1,319,838x = 2,058,633 × 2,058,633
  4. Step 4: Simplify right side
    1,319,838x = 4,237,969,828,689
  5. Step 5: Solve for x
    x = 4,237,969,828,689/1,319,838
  6. Step 6: Final answer
    x = 3,210,977.28

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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.