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Finding the Third Proportional to 1,973,565 and 4,251,663

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Solution

The third proportional to 1,973,565 and 4,251,663 is: 9,159,383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973,565 : 4,251,663 = 4,251,663 : x
  2. Step 2: Convert to fraction form
    1,973,565/4,251,663 = 4,251,663/x
  3. Step 3: Cross multiply
    1,973,565x = 4,251,663 × 4,251,663
  4. Step 4: Simplify right side
    1,973,565x = 18,076,638,265,569
  5. Step 5: Solve for x
    x = 18,076,638,265,569/1,973,565
  6. Step 6: Final answer
    x = 9,159,383.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.