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Finding the Third Proportional to 1,024,906 and 2,242,875

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Solution

The third proportional to 1,024,906 and 2,242,875 is: 4,908,243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,906 : 2,242,875 = 2,242,875 : x
  2. Step 2: Convert to fraction form
    1,024,906/2,242,875 = 2,242,875/x
  3. Step 3: Cross multiply
    1,024,906x = 2,242,875 × 2,242,875
  4. Step 4: Simplify right side
    1,024,906x = 5,030,488,265,625
  5. Step 5: Solve for x
    x = 5,030,488,265,625/1,024,906
  6. Step 6: Final answer
    x = 4,908,243.55

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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.