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Finding the Third Proportional to 545,337 and 1,140,786

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Solution

The third proportional to 545,337 and 1,140,786 is: 2,386,400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,337 : 1,140,786 = 1,140,786 : x
  2. Step 2: Convert to fraction form
    545,337/1,140,786 = 1,140,786/x
  3. Step 3: Cross multiply
    545,337x = 1,140,786 × 1,140,786
  4. Step 4: Simplify right side
    545,337x = 1,301,392,697,796
  5. Step 5: Solve for x
    x = 1,301,392,697,796/545,337
  6. Step 6: Final answer
    x = 2,386,400.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.