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Finding the Third Proportional to 1,046,227.01 and 1,480,817.32

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Solution

The third proportional to 1,046,227.01 and 1,480,817.32 is: 2,095,931.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,227.01 : 1,480,817.32 = 1,480,817.32 : x
  2. Step 2: Convert to fraction form
    1,046,227.01/1,480,817.32 = 1,480,817.32/x
  3. Step 3: Cross multiply
    1,046,227.01x = 1,480,817.32 × 1,480,817.32
  4. Step 4: Simplify right side
    1,046,227.01x = 2,192,819,936,137.49
  5. Step 5: Solve for x
    x = 2,192,819,936,137.49/1,046,227.01
  6. Step 6: Final answer
    x = 2,095,931.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.