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Finding the Third Proportional to 1,307,122.31 and 1,980,244.97

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Solution

The third proportional to 1,307,122.31 and 1,980,244.97 is: 3,000,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307,122.31 : 1,980,244.97 = 1,980,244.97 : x
  2. Step 2: Convert to fraction form
    1,307,122.31/1,980,244.97 = 1,980,244.97/x
  3. Step 3: Cross multiply
    1,307,122.31x = 1,980,244.97 × 1,980,244.97
  4. Step 4: Simplify right side
    1,307,122.31x = 3,921,370,136,259.69
  5. Step 5: Solve for x
    x = 3,921,370,136,259.69/1,307,122.31
  6. Step 6: Final answer
    x = 3,000,002.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.