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Finding the Third Proportional to 585,234 and 1,257,768

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Solution

The third proportional to 585,234 and 1,257,768 is: 2,703,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,234 : 1,257,768 = 1,257,768 : x
  2. Step 2: Convert to fraction form
    585,234/1,257,768 = 1,257,768/x
  3. Step 3: Cross multiply
    585,234x = 1,257,768 × 1,257,768
  4. Step 4: Simplify right side
    585,234x = 1,581,980,341,824
  5. Step 5: Solve for x
    x = 1,581,980,341,824/585,234
  6. Step 6: Final answer
    x = 2,703,158.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.