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Finding the Third Proportional to 545,256 and 1,117,710

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Solution

The third proportional to 545,256 and 1,117,710 is: 2,291,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,256 : 1,117,710 = 1,117,710 : x
  2. Step 2: Convert to fraction form
    545,256/1,117,710 = 1,117,710/x
  3. Step 3: Cross multiply
    545,256x = 1,117,710 × 1,117,710
  4. Step 4: Simplify right side
    545,256x = 1,249,275,644,100
  5. Step 5: Solve for x
    x = 1,249,275,644,100/545,256
  6. Step 6: Final answer
    x = 2,291,172.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.