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Finding the Third Proportional to 1,271,013.40 and 1,963,764.63

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Solution

The third proportional to 1,271,013.40 and 1,963,764.63 is: 3,034,091.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,013.40 : 1,963,764.63 = 1,963,764.63 : x
  2. Step 2: Convert to fraction form
    1,271,013.40/1,963,764.63 = 1,963,764.63/x
  3. Step 3: Cross multiply
    1,271,013.40x = 1,963,764.63 × 1,963,764.63
  4. Step 4: Simplify right side
    1,271,013.40x = 3,856,371,533,085.21
  5. Step 5: Solve for x
    x = 3,856,371,533,085.21/1,271,013.40
  6. Step 6: Final answer
    x = 3,034,091.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.