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Finding the Third Proportional to 830,432 and 1,241,323

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Solution

The third proportional to 830,432 and 1,241,323 is: 1,855,519.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,432 : 1,241,323 = 1,241,323 : x
  2. Step 2: Convert to fraction form
    830,432/1,241,323 = 1,241,323/x
  3. Step 3: Cross multiply
    830,432x = 1,241,323 × 1,241,323
  4. Step 4: Simplify right side
    830,432x = 1,540,882,790,329
  5. Step 5: Solve for x
    x = 1,540,882,790,329/830,432
  6. Step 6: Final answer
    x = 1,855,519.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.