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Finding the Third Proportional to 1,578,543 and 3,409,685

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Solution

The third proportional to 1,578,543 and 3,409,685 is: 7,364,988.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,543 : 3,409,685 = 3,409,685 : x
  2. Step 2: Convert to fraction form
    1,578,543/3,409,685 = 3,409,685/x
  3. Step 3: Cross multiply
    1,578,543x = 3,409,685 × 3,409,685
  4. Step 4: Simplify right side
    1,578,543x = 11,625,951,799,225
  5. Step 5: Solve for x
    x = 11,625,951,799,225/1,578,543
  6. Step 6: Final answer
    x = 7,364,988.98

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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.