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Finding the Third Proportional to 1,147,902.94 and 1,791,641.06

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Solution

The third proportional to 1,147,902.94 and 1,791,641.06 is: 2,796,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147,902.94 : 1,791,641.06 = 1,791,641.06 : x
  2. Step 2: Convert to fraction form
    1,147,902.94/1,791,641.06 = 1,791,641.06/x
  3. Step 3: Cross multiply
    1,147,902.94x = 1,791,641.06 × 1,791,641.06
  4. Step 4: Simplify right side
    1,147,902.94x = 3,209,977,696,836.13
  5. Step 5: Solve for x
    x = 3,209,977,696,836.13/1,147,902.94
  6. Step 6: Final answer
    x = 2,796,384.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.