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Finding the Third Proportional to 1,671,430 and 3,608,864

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Solution

The third proportional to 1,671,430 and 3,608,864 is: 7,792,069.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671,430 : 3,608,864 = 3,608,864 : x
  2. Step 2: Convert to fraction form
    1,671,430/3,608,864 = 3,608,864/x
  3. Step 3: Cross multiply
    1,671,430x = 3,608,864 × 3,608,864
  4. Step 4: Simplify right side
    1,671,430x = 13,023,899,370,496
  5. Step 5: Solve for x
    x = 13,023,899,370,496/1,671,430
  6. Step 6: Final answer
    x = 7,792,069.89

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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.