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Finding the Third Proportional to 1,707,734.63 and 4,031,378.63

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Solution

The third proportional to 1,707,734.63 and 4,031,378.63 is: 9,516,709.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707,734.63 : 4,031,378.63 = 4,031,378.63 : x
  2. Step 2: Convert to fraction form
    1,707,734.63/4,031,378.63 = 4,031,378.63/x
  3. Step 3: Cross multiply
    1,707,734.63x = 4,031,378.63 × 4,031,378.63
  4. Step 4: Simplify right side
    1,707,734.63x = 16,252,013,618,106.89
  5. Step 5: Solve for x
    x = 16,252,013,618,106.89/1,707,734.63
  6. Step 6: Final answer
    x = 9,516,709.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.