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Finding the Third Proportional to 2,780,420 and 6,092,280

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Solution

The third proportional to 2,780,420 and 6,092,280 is: 13,349,017.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780,420 : 6,092,280 = 6,092,280 : x
  2. Step 2: Convert to fraction form
    2,780,420/6,092,280 = 6,092,280/x
  3. Step 3: Cross multiply
    2,780,420x = 6,092,280 × 6,092,280
  4. Step 4: Simplify right side
    2,780,420x = 37,115,875,598,400
  5. Step 5: Solve for x
    x = 37,115,875,598,400/2,780,420
  6. Step 6: Final answer
    x = 13,349,017.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.