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Finding the Third Proportional to 782,931 and 1,668,411

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Solution

The third proportional to 782,931 and 1,668,411 is: 3,555,351.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,931 : 1,668,411 = 1,668,411 : x
  2. Step 2: Convert to fraction form
    782,931/1,668,411 = 1,668,411/x
  3. Step 3: Cross multiply
    782,931x = 1,668,411 × 1,668,411
  4. Step 4: Simplify right side
    782,931x = 2,783,595,264,921
  5. Step 5: Solve for x
    x = 2,783,595,264,921/782,931
  6. Step 6: Final answer
    x = 3,555,351.96

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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.