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Finding the Third Proportional to 830,763 and 1,815,291

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Solution

The third proportional to 830,763 and 1,815,291 is: 3,966,572.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,763 : 1,815,291 = 1,815,291 : x
  2. Step 2: Convert to fraction form
    830,763/1,815,291 = 1,815,291/x
  3. Step 3: Cross multiply
    830,763x = 1,815,291 × 1,815,291
  4. Step 4: Simplify right side
    830,763x = 3,295,281,414,681
  5. Step 5: Solve for x
    x = 3,295,281,414,681/830,763
  6. Step 6: Final answer
    x = 3,966,572.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.