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Finding the Third Proportional to 1,577,648 and 2,255,844

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Solution

The third proportional to 1,577,648 and 2,255,844 is: 3,225,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,648 : 2,255,844 = 2,255,844 : x
  2. Step 2: Convert to fraction form
    1,577,648/2,255,844 = 2,255,844/x
  3. Step 3: Cross multiply
    1,577,648x = 2,255,844 × 2,255,844
  4. Step 4: Simplify right side
    1,577,648x = 5,088,832,152,336
  5. Step 5: Solve for x
    x = 5,088,832,152,336/1,577,648
  6. Step 6: Final answer
    x = 3,225,581.47

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.