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Finding the Third Proportional to 624,056 and 1,472,658

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Solution

The third proportional to 624,056 and 1,472,658 is: 3,475,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,056 : 1,472,658 = 1,472,658 : x
  2. Step 2: Convert to fraction form
    624,056/1,472,658 = 1,472,658/x
  3. Step 3: Cross multiply
    624,056x = 1,472,658 × 1,472,658
  4. Step 4: Simplify right side
    624,056x = 2,168,721,584,964
  5. Step 5: Solve for x
    x = 2,168,721,584,964/624,056
  6. Step 6: Final answer
    x = 3,475,203.48

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.