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Finding the Third Proportional to 484,740 and 1,036,872

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Solution

The third proportional to 484,740 and 1,036,872 is: 2,217,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,740 : 1,036,872 = 1,036,872 : x
  2. Step 2: Convert to fraction form
    484,740/1,036,872 = 1,036,872/x
  3. Step 3: Cross multiply
    484,740x = 1,036,872 × 1,036,872
  4. Step 4: Simplify right side
    484,740x = 1,075,103,544,384
  5. Step 5: Solve for x
    x = 1,075,103,544,384/484,740
  6. Step 6: Final answer
    x = 2,217,897.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.