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Finding the Third Proportional to 1,302,085.13 and 2,856,290.34

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Solution

The third proportional to 1,302,085.13 and 2,856,290.34 is: 6,265,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,085.13 : 2,856,290.34 = 2,856,290.34 : x
  2. Step 2: Convert to fraction form
    1,302,085.13/2,856,290.34 = 2,856,290.34/x
  3. Step 3: Cross multiply
    1,302,085.13x = 2,856,290.34 × 2,856,290.34
  4. Step 4: Simplify right side
    1,302,085.13x = 8,158,394,527,799.49
  5. Step 5: Solve for x
    x = 8,158,394,527,799.49/1,302,085.13
  6. Step 6: Final answer
    x = 6,265,638.38

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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.