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Finding the Third Proportional to 624,125 and 1,344,386

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Solution

The third proportional to 624,125 and 1,344,386 is: 2,895,852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,125 : 1,344,386 = 1,344,386 : x
  2. Step 2: Convert to fraction form
    624,125/1,344,386 = 1,344,386/x
  3. Step 3: Cross multiply
    624,125x = 1,344,386 × 1,344,386
  4. Step 4: Simplify right side
    624,125x = 1,807,373,716,996
  5. Step 5: Solve for x
    x = 1,807,373,716,996/624,125
  6. Step 6: Final answer
    x = 2,895,852.14

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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.