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Finding the Third Proportional to 545,307 and 1,160,598

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Solution

The third proportional to 545,307 and 1,160,598 is: 2,470,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,307 : 1,160,598 = 1,160,598 : x
  2. Step 2: Convert to fraction form
    545,307/1,160,598 = 1,160,598/x
  3. Step 3: Cross multiply
    545,307x = 1,160,598 × 1,160,598
  4. Step 4: Simplify right side
    545,307x = 1,346,987,717,604
  5. Step 5: Solve for x
    x = 1,346,987,717,604/545,307
  6. Step 6: Final answer
    x = 2,470,145.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.