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Finding the Third Proportional to 643,726 and 1,413,476

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Solution

The third proportional to 643,726 and 1,413,476 is: 3,103,672.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,726 : 1,413,476 = 1,413,476 : x
  2. Step 2: Convert to fraction form
    643,726/1,413,476 = 1,413,476/x
  3. Step 3: Cross multiply
    643,726x = 1,413,476 × 1,413,476
  4. Step 4: Simplify right side
    643,726x = 1,997,914,402,576
  5. Step 5: Solve for x
    x = 1,997,914,402,576/643,726
  6. Step 6: Final answer
    x = 3,103,672.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.