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Finding the Third Proportional to 570,627 and 1,349,465

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Solution

The third proportional to 570,627 and 1,349,465 is: 3,191,324.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,627 : 1,349,465 = 1,349,465 : x
  2. Step 2: Convert to fraction form
    570,627/1,349,465 = 1,349,465/x
  3. Step 3: Cross multiply
    570,627x = 1,349,465 × 1,349,465
  4. Step 4: Simplify right side
    570,627x = 1,821,055,786,225
  5. Step 5: Solve for x
    x = 1,821,055,786,225/570,627
  6. Step 6: Final answer
    x = 3,191,324.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.