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Finding the Third Proportional to 774,927 and 1,668,600

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Solution

The third proportional to 774,927 and 1,668,600 is: 3,592,888.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,927 : 1,668,600 = 1,668,600 : x
  2. Step 2: Convert to fraction form
    774,927/1,668,600 = 1,668,600/x
  3. Step 3: Cross multiply
    774,927x = 1,668,600 × 1,668,600
  4. Step 4: Simplify right side
    774,927x = 2,784,225,960,000
  5. Step 5: Solve for x
    x = 2,784,225,960,000/774,927
  6. Step 6: Final answer
    x = 3,592,888.05

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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.