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Finding the Third Proportional to 805,752 and 1,694,448

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Solution

The third proportional to 805,752 and 1,694,448 is: 3,563,322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,752 : 1,694,448 = 1,694,448 : x
  2. Step 2: Convert to fraction form
    805,752/1,694,448 = 1,694,448/x
  3. Step 3: Cross multiply
    805,752x = 1,694,448 × 1,694,448
  4. Step 4: Simplify right side
    805,752x = 2,871,154,024,704
  5. Step 5: Solve for x
    x = 2,871,154,024,704/805,752
  6. Step 6: Final answer
    x = 3,563,322.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.