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Finding the Third Proportional to 429,708 and 935,880

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Solution

The third proportional to 429,708 and 935,880 is: 2,038,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,708 : 935,880 = 935,880 : x
  2. Step 2: Convert to fraction form
    429,708/935,880 = 935,880/x
  3. Step 3: Cross multiply
    429,708x = 935,880 × 935,880
  4. Step 4: Simplify right side
    429,708x = 875,871,374,400
  5. Step 5: Solve for x
    x = 875,871,374,400/429,708
  6. Step 6: Final answer
    x = 2,038,294.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.