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Finding the Third Proportional to 1,657,148 and 3,630,598

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Solution

The third proportional to 1,657,148 and 3,630,598 is: 7,954,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,148 : 3,630,598 = 3,630,598 : x
  2. Step 2: Convert to fraction form
    1,657,148/3,630,598 = 3,630,598/x
  3. Step 3: Cross multiply
    1,657,148x = 3,630,598 × 3,630,598
  4. Step 4: Simplify right side
    1,657,148x = 13,181,241,837,604
  5. Step 5: Solve for x
    x = 13,181,241,837,604/1,657,148
  6. Step 6: Final answer
    x = 7,954,172.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.