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Finding the Third Proportional to 473,430 and 1,029,804

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Solution

The third proportional to 473,430 and 1,029,804 is: 2,240,027.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,430 : 1,029,804 = 1,029,804 : x
  2. Step 2: Convert to fraction form
    473,430/1,029,804 = 1,029,804/x
  3. Step 3: Cross multiply
    473,430x = 1,029,804 × 1,029,804
  4. Step 4: Simplify right side
    473,430x = 1,060,496,278,416
  5. Step 5: Solve for x
    x = 1,060,496,278,416/473,430
  6. Step 6: Final answer
    x = 2,240,027.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.