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Finding the Third Proportional to 1,243,620 and 2,657,880

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Solution

The third proportional to 1,243,620 and 2,657,880 is: 5,680,453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,620 : 2,657,880 = 2,657,880 : x
  2. Step 2: Convert to fraction form
    1,243,620/2,657,880 = 2,657,880/x
  3. Step 3: Cross multiply
    1,243,620x = 2,657,880 × 2,657,880
  4. Step 4: Simplify right side
    1,243,620x = 7,064,326,094,400
  5. Step 5: Solve for x
    x = 7,064,326,094,400/1,243,620
  6. Step 6: Final answer
    x = 5,680,453.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.