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Finding the Third Proportional to 469,492 and 1,013,826

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Solution

The third proportional to 469,492 and 1,013,826 is: 2,189,266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,492 : 1,013,826 = 1,013,826 : x
  2. Step 2: Convert to fraction form
    469,492/1,013,826 = 1,013,826/x
  3. Step 3: Cross multiply
    469,492x = 1,013,826 × 1,013,826
  4. Step 4: Simplify right side
    469,492x = 1,027,843,158,276
  5. Step 5: Solve for x
    x = 1,027,843,158,276/469,492
  6. Step 6: Final answer
    x = 2,189,266.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.