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Finding the Third Proportional to 830,338 and 1,788,023

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Solution

The third proportional to 830,338 and 1,788,023 is: 3,850,270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,338 : 1,788,023 = 1,788,023 : x
  2. Step 2: Convert to fraction form
    830,338/1,788,023 = 1,788,023/x
  3. Step 3: Cross multiply
    830,338x = 1,788,023 × 1,788,023
  4. Step 4: Simplify right side
    830,338x = 3,197,026,248,529
  5. Step 5: Solve for x
    x = 3,197,026,248,529/830,338
  6. Step 6: Final answer
    x = 3,850,270.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.