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Finding the Third Proportional to 624,403 and 1,353,784

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Solution

The third proportional to 624,403 and 1,353,784 is: 2,935,173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,403 : 1,353,784 = 1,353,784 : x
  2. Step 2: Convert to fraction form
    624,403/1,353,784 = 1,353,784/x
  3. Step 3: Cross multiply
    624,403x = 1,353,784 × 1,353,784
  4. Step 4: Simplify right side
    624,403x = 1,832,731,118,656
  5. Step 5: Solve for x
    x = 1,832,731,118,656/624,403
  6. Step 6: Final answer
    x = 2,935,173.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.