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Finding the Third Proportional to 1,243,426.25 and 1,977,244.49

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Solution

The third proportional to 1,243,426.25 and 1,977,244.49 is: 3,144,131.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,426.25 : 1,977,244.49 = 1,977,244.49 : x
  2. Step 2: Convert to fraction form
    1,243,426.25/1,977,244.49 = 1,977,244.49/x
  3. Step 3: Cross multiply
    1,243,426.25x = 1,977,244.49 × 1,977,244.49
  4. Step 4: Simplify right side
    1,243,426.25x = 3,909,495,766,438.38
  5. Step 5: Solve for x
    x = 3,909,495,766,438.38/1,243,426.25
  6. Step 6: Final answer
    x = 3,144,131.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.