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Finding the Third Proportional to 783,664 and 1,600,537

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Solution

The third proportional to 783,664 and 1,600,537 is: 3,268,899.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,664 : 1,600,537 = 1,600,537 : x
  2. Step 2: Convert to fraction form
    783,664/1,600,537 = 1,600,537/x
  3. Step 3: Cross multiply
    783,664x = 1,600,537 × 1,600,537
  4. Step 4: Simplify right side
    783,664x = 2,561,718,688,369
  5. Step 5: Solve for x
    x = 2,561,718,688,369/783,664
  6. Step 6: Final answer
    x = 3,268,899.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.