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Finding the Third Proportional to 1,578,492 and 3,409,209

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Solution

The third proportional to 1,578,492 and 3,409,209 is: 7,363,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,492 : 3,409,209 = 3,409,209 : x
  2. Step 2: Convert to fraction form
    1,578,492/3,409,209 = 3,409,209/x
  3. Step 3: Cross multiply
    1,578,492x = 3,409,209 × 3,409,209
  4. Step 4: Simplify right side
    1,578,492x = 11,622,706,005,681
  5. Step 5: Solve for x
    x = 11,622,706,005,681/1,578,492
  6. Step 6: Final answer
    x = 7,363,170.68

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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.