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Finding the Third Proportional to 830,835 and 1,807,470

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Solution

The third proportional to 830,835 and 1,807,470 is: 3,932,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,835 : 1,807,470 = 1,807,470 : x
  2. Step 2: Convert to fraction form
    830,835/1,807,470 = 1,807,470/x
  3. Step 3: Cross multiply
    830,835x = 1,807,470 × 1,807,470
  4. Step 4: Simplify right side
    830,835x = 3,266,947,800,900
  5. Step 5: Solve for x
    x = 3,266,947,800,900/830,835
  6. Step 6: Final answer
    x = 3,932,125.87

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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.