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Finding the Third Proportional to 1,283,688 and 2,034,396

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Solution

The third proportional to 1,283,688 and 2,034,396 is: 3,224,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,688 : 2,034,396 = 2,034,396 : x
  2. Step 2: Convert to fraction form
    1,283,688/2,034,396 = 2,034,396/x
  3. Step 3: Cross multiply
    1,283,688x = 2,034,396 × 2,034,396
  4. Step 4: Simplify right side
    1,283,688x = 4,138,767,084,816
  5. Step 5: Solve for x
    x = 4,138,767,084,816/1,283,688
  6. Step 6: Final answer
    x = 3,224,122.28

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.