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Finding the Third Proportional to 760,473 and 1,669,661

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Solution

The third proportional to 760,473 and 1,669,661 is: 3,665,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,473 : 1,669,661 = 1,669,661 : x
  2. Step 2: Convert to fraction form
    760,473/1,669,661 = 1,669,661/x
  3. Step 3: Cross multiply
    760,473x = 1,669,661 × 1,669,661
  4. Step 4: Simplify right side
    760,473x = 2,787,767,854,921
  5. Step 5: Solve for x
    x = 2,787,767,854,921/760,473
  6. Step 6: Final answer
    x = 3,665,834.10

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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.