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Finding the Third Proportional to 1,243,896 and 2,598,264

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Solution

The third proportional to 1,243,896 and 2,598,264 is: 5,427,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,896 : 2,598,264 = 2,598,264 : x
  2. Step 2: Convert to fraction form
    1,243,896/2,598,264 = 2,598,264/x
  3. Step 3: Cross multiply
    1,243,896x = 2,598,264 × 2,598,264
  4. Step 4: Simplify right side
    1,243,896x = 6,750,975,813,696
  5. Step 5: Solve for x
    x = 6,750,975,813,696/1,243,896
  6. Step 6: Final answer
    x = 5,427,283.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.