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Finding the Third Proportional to 1,772,510 and 3,865,828

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Solution

The third proportional to 1,772,510 and 3,865,828 is: 8,431,335.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772,510 : 3,865,828 = 3,865,828 : x
  2. Step 2: Convert to fraction form
    1,772,510/3,865,828 = 3,865,828/x
  3. Step 3: Cross multiply
    1,772,510x = 3,865,828 × 3,865,828
  4. Step 4: Simplify right side
    1,772,510x = 14,944,626,125,584
  5. Step 5: Solve for x
    x = 14,944,626,125,584/1,772,510
  6. Step 6: Final answer
    x = 8,431,335.30

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Why These Related Problems?

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