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Finding the Third Proportional to 933,904.69 and 1,407,385.13

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Solution

The third proportional to 933,904.69 and 1,407,385.13 is: 2,120,915.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,904.69 : 1,407,385.13 = 1,407,385.13 : x
  2. Step 2: Convert to fraction form
    933,904.69/1,407,385.13 = 1,407,385.13/x
  3. Step 3: Cross multiply
    933,904.69x = 1,407,385.13 × 1,407,385.13
  4. Step 4: Simplify right side
    933,904.69x = 1,980,732,890,071.27
  5. Step 5: Solve for x
    x = 1,980,732,890,071.27/933,904.69
  6. Step 6: Final answer
    x = 2,120,915.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.