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Finding the Third Proportional to 1,050,072 and 1,584,729

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Solution

The third proportional to 1,050,072 and 1,584,729 is: 2,391,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050,072 : 1,584,729 = 1,584,729 : x
  2. Step 2: Convert to fraction form
    1,050,072/1,584,729 = 1,584,729/x
  3. Step 3: Cross multiply
    1,050,072x = 1,584,729 × 1,584,729
  4. Step 4: Simplify right side
    1,050,072x = 2,511,366,003,441
  5. Step 5: Solve for x
    x = 2,511,366,003,441/1,050,072
  6. Step 6: Final answer
    x = 2,391,613.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.