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Finding the Third Proportional to 624,171 and 1,343,070

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Solution

The third proportional to 624,171 and 1,343,070 is: 2,889,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,171 : 1,343,070 = 1,343,070 : x
  2. Step 2: Convert to fraction form
    624,171/1,343,070 = 1,343,070/x
  3. Step 3: Cross multiply
    624,171x = 1,343,070 × 1,343,070
  4. Step 4: Simplify right side
    624,171x = 1,803,837,024,900
  5. Step 5: Solve for x
    x = 1,803,837,024,900/624,171
  6. Step 6: Final answer
    x = 2,889,972.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.