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Finding the Third Proportional to 933,360 and 1,447,984

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Solution

The third proportional to 933,360 and 1,447,984 is: 2,246,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,360 : 1,447,984 = 1,447,984 : x
  2. Step 2: Convert to fraction form
    933,360/1,447,984 = 1,447,984/x
  3. Step 3: Cross multiply
    933,360x = 1,447,984 × 1,447,984
  4. Step 4: Simplify right side
    933,360x = 2,096,657,664,256
  5. Step 5: Solve for x
    x = 2,096,657,664,256/933,360
  6. Step 6: Final answer
    x = 2,246,354.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.