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Finding the Third Proportional to 1,293,810 and 1,852,640

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Solution

The third proportional to 1,293,810 and 1,852,640 is: 2,652,843.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,810 : 1,852,640 = 1,852,640 : x
  2. Step 2: Convert to fraction form
    1,293,810/1,852,640 = 1,852,640/x
  3. Step 3: Cross multiply
    1,293,810x = 1,852,640 × 1,852,640
  4. Step 4: Simplify right side
    1,293,810x = 3,432,274,969,600
  5. Step 5: Solve for x
    x = 3,432,274,969,600/1,293,810
  6. Step 6: Final answer
    x = 2,652,843.13

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.