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Finding the Third Proportional to 897,396.81 and 1,920,936.13

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Solution

The third proportional to 897,396.81 and 1,920,936.13 is: 4,111,888.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,396.81 : 1,920,936.13 = 1,920,936.13 : x
  2. Step 2: Convert to fraction form
    897,396.81/1,920,936.13 = 1,920,936.13/x
  3. Step 3: Cross multiply
    897,396.81x = 1,920,936.13 × 1,920,936.13
  4. Step 4: Simplify right side
    897,396.81x = 3,689,995,596,330.02
  5. Step 5: Solve for x
    x = 3,689,995,596,330.02/897,396.81
  6. Step 6: Final answer
    x = 4,111,888.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.