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Finding the Third Proportional to 702,461 and 1,657,694

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Solution

The third proportional to 702,461 and 1,657,694 is: 3,911,888.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,461 : 1,657,694 = 1,657,694 : x
  2. Step 2: Convert to fraction form
    702,461/1,657,694 = 1,657,694/x
  3. Step 3: Cross multiply
    702,461x = 1,657,694 × 1,657,694
  4. Step 4: Simplify right side
    702,461x = 2,747,949,397,636
  5. Step 5: Solve for x
    x = 2,747,949,397,636/702,461
  6. Step 6: Final answer
    x = 3,911,888.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.