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Finding the Third Proportional to 1,925,764 and 2,980,263

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Solution

The third proportional to 1,925,764 and 2,980,263 is: 4,612,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925,764 : 2,980,263 = 2,980,263 : x
  2. Step 2: Convert to fraction form
    1,925,764/2,980,263 = 2,980,263/x
  3. Step 3: Cross multiply
    1,925,764x = 2,980,263 × 2,980,263
  4. Step 4: Simplify right side
    1,925,764x = 8,881,967,549,169
  5. Step 5: Solve for x
    x = 8,881,967,549,169/1,925,764
  6. Step 6: Final answer
    x = 4,612,178.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.