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Finding the Third Proportional to 1,578,423 and 3,409,066

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Solution

The third proportional to 1,578,423 and 3,409,066 is: 7,362,874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,423 : 3,409,066 = 3,409,066 : x
  2. Step 2: Convert to fraction form
    1,578,423/3,409,066 = 3,409,066/x
  3. Step 3: Cross multiply
    1,578,423x = 3,409,066 × 3,409,066
  4. Step 4: Simplify right side
    1,578,423x = 11,621,730,992,356
  5. Step 5: Solve for x
    x = 11,621,730,992,356/1,578,423
  6. Step 6: Final answer
    x = 7,362,874.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.