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Finding the Third Proportional to 776,588 and 1,705,448

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Solution

The third proportional to 776,588 and 1,705,448 is: 3,745,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,588 : 1,705,448 = 1,705,448 : x
  2. Step 2: Convert to fraction form
    776,588/1,705,448 = 1,705,448/x
  3. Step 3: Cross multiply
    776,588x = 1,705,448 × 1,705,448
  4. Step 4: Simplify right side
    776,588x = 2,908,552,880,704
  5. Step 5: Solve for x
    x = 2,908,552,880,704/776,588
  6. Step 6: Final answer
    x = 3,745,297.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.