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Finding the Third Proportional to 1,185,428 and 1,693,949.25

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Solution

The third proportional to 1,185,428 and 1,693,949.25 is: 2,420,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185,428 : 1,693,949.25 = 1,693,949.25 : x
  2. Step 2: Convert to fraction form
    1,185,428/1,693,949.25 = 1,693,949.25/x
  3. Step 3: Cross multiply
    1,185,428x = 1,693,949.25 × 1,693,949.25
  4. Step 4: Simplify right side
    1,185,428x = 2,869,464,061,575.56
  5. Step 5: Solve for x
    x = 2,869,464,061,575.56/1,185,428
  6. Step 6: Final answer
    x = 2,420,614.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.