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Finding the Third Proportional to 1,259,180 and 1,899,312

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Solution

The third proportional to 1,259,180 and 1,899,312 is: 2,864,869.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259,180 : 1,899,312 = 1,899,312 : x
  2. Step 2: Convert to fraction form
    1,259,180/1,899,312 = 1,899,312/x
  3. Step 3: Cross multiply
    1,259,180x = 1,899,312 × 1,899,312
  4. Step 4: Simplify right side
    1,259,180x = 3,607,386,073,344
  5. Step 5: Solve for x
    x = 3,607,386,073,344/1,259,180
  6. Step 6: Final answer
    x = 2,864,869.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.