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Finding the Third Proportional to 1,465,830 and 2,242,338

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Solution

The third proportional to 1,465,830 and 2,242,338 is: 3,430,192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,830 : 2,242,338 = 2,242,338 : x
  2. Step 2: Convert to fraction form
    1,465,830/2,242,338 = 2,242,338/x
  3. Step 3: Cross multiply
    1,465,830x = 2,242,338 × 2,242,338
  4. Step 4: Simplify right side
    1,465,830x = 5,028,079,706,244
  5. Step 5: Solve for x
    x = 5,028,079,706,244/1,465,830
  6. Step 6: Final answer
    x = 3,430,192.93

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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.