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Finding the Third Proportional to 969,412 and 1,480,362

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Solution

The third proportional to 969,412 and 1,480,362 is: 2,260,619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,412 : 1,480,362 = 1,480,362 : x
  2. Step 2: Convert to fraction form
    969,412/1,480,362 = 1,480,362/x
  3. Step 3: Cross multiply
    969,412x = 1,480,362 × 1,480,362
  4. Step 4: Simplify right side
    969,412x = 2,191,471,651,044
  5. Step 5: Solve for x
    x = 2,191,471,651,044/969,412
  6. Step 6: Final answer
    x = 2,260,619.48

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.