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Finding the Third Proportional to 470,780 and 1,029,584

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Solution

The third proportional to 470,780 and 1,029,584 is: 2,251,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,780 : 1,029,584 = 1,029,584 : x
  2. Step 2: Convert to fraction form
    470,780/1,029,584 = 1,029,584/x
  3. Step 3: Cross multiply
    470,780x = 1,029,584 × 1,029,584
  4. Step 4: Simplify right side
    470,780x = 1,060,043,213,056
  5. Step 5: Solve for x
    x = 1,060,043,213,056/470,780
  6. Step 6: Final answer
    x = 2,251,674.27

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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.