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Finding the Third Proportional to 1,253,572 and 2,706,646

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Solution

The third proportional to 1,253,572 and 2,706,646 is: 5,844,046.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253,572 : 2,706,646 = 2,706,646 : x
  2. Step 2: Convert to fraction form
    1,253,572/2,706,646 = 2,706,646/x
  3. Step 3: Cross multiply
    1,253,572x = 2,706,646 × 2,706,646
  4. Step 4: Simplify right side
    1,253,572x = 7,325,932,569,316
  5. Step 5: Solve for x
    x = 7,325,932,569,316/1,253,572
  6. Step 6: Final answer
    x = 5,844,046.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.