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Finding the Third Proportional to 740,186 and 1,585,267

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Solution

The third proportional to 740,186 and 1,585,267 is: 3,395,189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,186 : 1,585,267 = 1,585,267 : x
  2. Step 2: Convert to fraction form
    740,186/1,585,267 = 1,585,267/x
  3. Step 3: Cross multiply
    740,186x = 1,585,267 × 1,585,267
  4. Step 4: Simplify right side
    740,186x = 2,513,071,461,289
  5. Step 5: Solve for x
    x = 2,513,071,461,289/740,186
  6. Step 6: Final answer
    x = 3,395,189.13

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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.