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Finding the Third Proportional to 750,627 and 1,164,024

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Solution

The third proportional to 750,627 and 1,164,024 is: 1,805,093.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,627 : 1,164,024 = 1,164,024 : x
  2. Step 2: Convert to fraction form
    750,627/1,164,024 = 1,164,024/x
  3. Step 3: Cross multiply
    750,627x = 1,164,024 × 1,164,024
  4. Step 4: Simplify right side
    750,627x = 1,354,951,872,576
  5. Step 5: Solve for x
    x = 1,354,951,872,576/750,627
  6. Step 6: Final answer
    x = 1,805,093.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.