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Finding the Third Proportional to 740,187 and 1,585,269

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Solution

The third proportional to 740,187 and 1,585,269 is: 3,395,193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,187 : 1,585,269 = 1,585,269 : x
  2. Step 2: Convert to fraction form
    740,187/1,585,269 = 1,585,269/x
  3. Step 3: Cross multiply
    740,187x = 1,585,269 × 1,585,269
  4. Step 4: Simplify right side
    740,187x = 2,513,077,802,361
  5. Step 5: Solve for x
    x = 2,513,077,802,361/740,187
  6. Step 6: Final answer
    x = 3,395,193.11

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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.