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Finding the Third Proportional to 1,576,649 and 3,458,506

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Solution

The third proportional to 1,576,649 and 3,458,506 is: 7,586,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,649 : 3,458,506 = 3,458,506 : x
  2. Step 2: Convert to fraction form
    1,576,649/3,458,506 = 3,458,506/x
  3. Step 3: Cross multiply
    1,576,649x = 3,458,506 × 3,458,506
  4. Step 4: Simplify right side
    1,576,649x = 11,961,263,752,036
  5. Step 5: Solve for x
    x = 11,961,263,752,036/1,576,649
  6. Step 6: Final answer
    x = 7,586,510.22

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.