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Finding the Third Proportional to 1,745,246 and 2,560,358

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Solution

The third proportional to 1,745,246 and 2,560,358 is: 3,756,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745,246 : 2,560,358 = 2,560,358 : x
  2. Step 2: Convert to fraction form
    1,745,246/2,560,358 = 2,560,358/x
  3. Step 3: Cross multiply
    1,745,246x = 2,560,358 × 2,560,358
  4. Step 4: Simplify right side
    1,745,246x = 6,555,433,088,164
  5. Step 5: Solve for x
    x = 6,555,433,088,164/1,745,246
  6. Step 6: Final answer
    x = 3,756,165.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.