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Finding the Third Proportional to 740,202 and 1,585,302

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Solution

The third proportional to 740,202 and 1,585,302 is: 3,395,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,202 : 1,585,302 = 1,585,302 : x
  2. Step 2: Convert to fraction form
    740,202/1,585,302 = 1,585,302/x
  3. Step 3: Cross multiply
    740,202x = 1,585,302 × 1,585,302
  4. Step 4: Simplify right side
    740,202x = 2,513,182,431,204
  5. Step 5: Solve for x
    x = 2,513,182,431,204/740,202
  6. Step 6: Final answer
    x = 3,395,265.66

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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.