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Finding the Third Proportional to 740,178 and 1,585,251

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Solution

The third proportional to 740,178 and 1,585,251 is: 3,395,157.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,178 : 1,585,251 = 1,585,251 : x
  2. Step 2: Convert to fraction form
    740,178/1,585,251 = 1,585,251/x
  3. Step 3: Cross multiply
    740,178x = 1,585,251 × 1,585,251
  4. Step 4: Simplify right side
    740,178x = 2,513,020,733,001
  5. Step 5: Solve for x
    x = 2,513,020,733,001/740,178
  6. Step 6: Final answer
    x = 3,395,157.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.