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Finding the Third Proportional to 1,699,407 and 3,697,641

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Solution

The third proportional to 1,699,407 and 3,697,641 is: 8,045,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699,407 : 3,697,641 = 3,697,641 : x
  2. Step 2: Convert to fraction form
    1,699,407/3,697,641 = 3,697,641/x
  3. Step 3: Cross multiply
    1,699,407x = 3,697,641 × 3,697,641
  4. Step 4: Simplify right side
    1,699,407x = 13,672,548,964,881
  5. Step 5: Solve for x
    x = 13,672,548,964,881/1,699,407
  6. Step 6: Final answer
    x = 8,045,482.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.