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Finding the Third Proportional to 798,230 and 1,205,639

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Solution

The third proportional to 798,230 and 1,205,639 is: 1,820,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,230 : 1,205,639 = 1,205,639 : x
  2. Step 2: Convert to fraction form
    798,230/1,205,639 = 1,205,639/x
  3. Step 3: Cross multiply
    798,230x = 1,205,639 × 1,205,639
  4. Step 4: Simplify right side
    798,230x = 1,453,565,398,321
  5. Step 5: Solve for x
    x = 1,453,565,398,321/798,230
  6. Step 6: Final answer
    x = 1,820,985.68

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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.