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Finding the Third Proportional to 1,406,065 and 3,011,413

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Solution

The third proportional to 1,406,065 and 3,011,413 is: 6,449,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,065 : 3,011,413 = 3,011,413 : x
  2. Step 2: Convert to fraction form
    1,406,065/3,011,413 = 3,011,413/x
  3. Step 3: Cross multiply
    1,406,065x = 3,011,413 × 3,011,413
  4. Step 4: Simplify right side
    1,406,065x = 9,068,608,256,569
  5. Step 5: Solve for x
    x = 9,068,608,256,569/1,406,065
  6. Step 6: Final answer
    x = 6,449,636.58

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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.