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Finding the Third Proportional to 781,056 and 1,624,311

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Solution

The third proportional to 781,056 and 1,624,311 is: 3,377,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,056 : 1,624,311 = 1,624,311 : x
  2. Step 2: Convert to fraction form
    781,056/1,624,311 = 1,624,311/x
  3. Step 3: Cross multiply
    781,056x = 1,624,311 × 1,624,311
  4. Step 4: Simplify right side
    781,056x = 2,638,386,224,721
  5. Step 5: Solve for x
    x = 2,638,386,224,721/781,056
  6. Step 6: Final answer
    x = 3,377,973.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.