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Finding the Third Proportional to 458,868 and 1,006,368

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Solution

The third proportional to 458,868 and 1,006,368 is: 2,207,119.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,868 : 1,006,368 = 1,006,368 : x
  2. Step 2: Convert to fraction form
    458,868/1,006,368 = 1,006,368/x
  3. Step 3: Cross multiply
    458,868x = 1,006,368 × 1,006,368
  4. Step 4: Simplify right side
    458,868x = 1,012,776,551,424
  5. Step 5: Solve for x
    x = 1,012,776,551,424/458,868
  6. Step 6: Final answer
    x = 2,207,119.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.