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Finding the Third Proportional to 1,780,461 and 3,772,818

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Solution

The third proportional to 1,780,461 and 3,772,818 is: 7,994,646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,461 : 3,772,818 = 3,772,818 : x
  2. Step 2: Convert to fraction form
    1,780,461/3,772,818 = 3,772,818/x
  3. Step 3: Cross multiply
    1,780,461x = 3,772,818 × 3,772,818
  4. Step 4: Simplify right side
    1,780,461x = 14,234,155,661,124
  5. Step 5: Solve for x
    x = 14,234,155,661,124/1,780,461
  6. Step 6: Final answer
    x = 7,994,646.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.