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Finding the Third Proportional to 1,506,788.16 and 2,274,194.53

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Solution

The third proportional to 1,506,788.16 and 2,274,194.53 is: 3,432,440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506,788.16 : 2,274,194.53 = 2,274,194.53 : x
  2. Step 2: Convert to fraction form
    1,506,788.16/2,274,194.53 = 2,274,194.53/x
  3. Step 3: Cross multiply
    1,506,788.16x = 2,274,194.53 × 2,274,194.53
  4. Step 4: Simplify right side
    1,506,788.16x = 5,171,960,765,967.41
  5. Step 5: Solve for x
    x = 5,171,960,765,967.41/1,506,788.16
  6. Step 6: Final answer
    x = 3,432,440.55

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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.