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Finding the Third Proportional to 1,736,998 and 3,827,379

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Solution

The third proportional to 1,736,998 and 3,827,379 is: 8,433,417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736,998 : 3,827,379 = 3,827,379 : x
  2. Step 2: Convert to fraction form
    1,736,998/3,827,379 = 3,827,379/x
  3. Step 3: Cross multiply
    1,736,998x = 3,827,379 × 3,827,379
  4. Step 4: Simplify right side
    1,736,998x = 14,648,830,009,641
  5. Step 5: Solve for x
    x = 14,648,830,009,641/1,736,998
  6. Step 6: Final answer
    x = 8,433,417.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.