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Finding the Third Proportional to 757,920 and 1,637,280

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Solution

The third proportional to 757,920 and 1,637,280 is: 3,536,898.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,920 : 1,637,280 = 1,637,280 : x
  2. Step 2: Convert to fraction form
    757,920/1,637,280 = 1,637,280/x
  3. Step 3: Cross multiply
    757,920x = 1,637,280 × 1,637,280
  4. Step 4: Simplify right side
    757,920x = 2,680,685,798,400
  5. Step 5: Solve for x
    x = 2,680,685,798,400/757,920
  6. Step 6: Final answer
    x = 3,536,898.09

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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.