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Finding the Third Proportional to 931,408 and 1,458,006

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Solution

The third proportional to 931,408 and 1,458,006 is: 2,282,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,408 : 1,458,006 = 1,458,006 : x
  2. Step 2: Convert to fraction form
    931,408/1,458,006 = 1,458,006/x
  3. Step 3: Cross multiply
    931,408x = 1,458,006 × 1,458,006
  4. Step 4: Simplify right side
    931,408x = 2,125,781,496,036
  5. Step 5: Solve for x
    x = 2,125,781,496,036/931,408
  6. Step 6: Final answer
    x = 2,282,331.15

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.