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Finding the Third Proportional to 774,930 and 1,668,607

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Solution

The third proportional to 774,930 and 1,668,607 is: 3,592,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,930 : 1,668,607 = 1,668,607 : x
  2. Step 2: Convert to fraction form
    774,930/1,668,607 = 1,668,607/x
  3. Step 3: Cross multiply
    774,930x = 1,668,607 × 1,668,607
  4. Step 4: Simplify right side
    774,930x = 2,784,249,320,449
  5. Step 5: Solve for x
    x = 2,784,249,320,449/774,930
  6. Step 6: Final answer
    x = 3,592,904.29

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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.