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Finding the Third Proportional to 687,893 and 934,141

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Solution

The third proportional to 687,893 and 934,141 is: 1,268,539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,893 : 934,141 = 934,141 : x
  2. Step 2: Convert to fraction form
    687,893/934,141 = 934,141/x
  3. Step 3: Cross multiply
    687,893x = 934,141 × 934,141
  4. Step 4: Simplify right side
    687,893x = 872,619,407,881
  5. Step 5: Solve for x
    x = 872,619,407,881/687,893
  6. Step 6: Final answer
    x = 1,268,539.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.