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Finding the Third Proportional to 1,638,432 and 3,564,454

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Solution

The third proportional to 1,638,432 and 3,564,454 is: 7,754,567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,432 : 3,564,454 = 3,564,454 : x
  2. Step 2: Convert to fraction form
    1,638,432/3,564,454 = 3,564,454/x
  3. Step 3: Cross multiply
    1,638,432x = 3,564,454 × 3,564,454
  4. Step 4: Simplify right side
    1,638,432x = 12,705,332,318,116
  5. Step 5: Solve for x
    x = 12,705,332,318,116/1,638,432
  6. Step 6: Final answer
    x = 7,754,567.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.