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Finding the Third Proportional to 760,471 and 1,669,657

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Solution

The third proportional to 760,471 and 1,669,657 is: 3,665,826.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,471 : 1,669,657 = 1,669,657 : x
  2. Step 2: Convert to fraction form
    760,471/1,669,657 = 1,669,657/x
  3. Step 3: Cross multiply
    760,471x = 1,669,657 × 1,669,657
  4. Step 4: Simplify right side
    760,471x = 2,787,754,497,649
  5. Step 5: Solve for x
    x = 2,787,754,497,649/760,471
  6. Step 6: Final answer
    x = 3,665,826.18

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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.