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Finding the Third Proportional to 736,732 and 1,610,422

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Solution

The third proportional to 736,732 and 1,610,422 is: 3,520,220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,732 : 1,610,422 = 1,610,422 : x
  2. Step 2: Convert to fraction form
    736,732/1,610,422 = 1,610,422/x
  3. Step 3: Cross multiply
    736,732x = 1,610,422 × 1,610,422
  4. Step 4: Simplify right side
    736,732x = 2,593,459,018,084
  5. Step 5: Solve for x
    x = 2,593,459,018,084/736,732
  6. Step 6: Final answer
    x = 3,520,220.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.