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Finding the Third Proportional to 600,840 and 935,748

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Solution

The third proportional to 600,840 and 935,748 is: 1,457,333.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,840 : 935,748 = 935,748 : x
  2. Step 2: Convert to fraction form
    600,840/935,748 = 935,748/x
  3. Step 3: Cross multiply
    600,840x = 935,748 × 935,748
  4. Step 4: Simplify right side
    600,840x = 875,624,319,504
  5. Step 5: Solve for x
    x = 875,624,319,504/600,840
  6. Step 6: Final answer
    x = 1,457,333.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.