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Finding the Third Proportional to 932,232 and 1,410,948

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Solution

The third proportional to 932,232 and 1,410,948 is: 2,135,492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,232 : 1,410,948 = 1,410,948 : x
  2. Step 2: Convert to fraction form
    932,232/1,410,948 = 1,410,948/x
  3. Step 3: Cross multiply
    932,232x = 1,410,948 × 1,410,948
  4. Step 4: Simplify right side
    932,232x = 1,990,774,258,704
  5. Step 5: Solve for x
    x = 1,990,774,258,704/932,232
  6. Step 6: Final answer
    x = 2,135,492.30

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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.