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Finding the Third Proportional to 545,697 and 1,118,448

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Solution

The third proportional to 545,697 and 1,118,448 is: 2,292,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,697 : 1,118,448 = 1,118,448 : x
  2. Step 2: Convert to fraction form
    545,697/1,118,448 = 1,118,448/x
  3. Step 3: Cross multiply
    545,697x = 1,118,448 × 1,118,448
  4. Step 4: Simplify right side
    545,697x = 1,250,925,928,704
  5. Step 5: Solve for x
    x = 1,250,925,928,704/545,697
  6. Step 6: Final answer
    x = 2,292,345.26

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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.