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Finding the Third Proportional to 1,020,832.88 and 1,507,901.06

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Solution

The third proportional to 1,020,832.88 and 1,507,901.06 is: 2,227,363.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,832.88 : 1,507,901.06 = 1,507,901.06 : x
  2. Step 2: Convert to fraction form
    1,020,832.88/1,507,901.06 = 1,507,901.06/x
  3. Step 3: Cross multiply
    1,020,832.88x = 1,507,901.06 × 1,507,901.06
  4. Step 4: Simplify right side
    1,020,832.88x = 2,273,765,614,288.63
  5. Step 5: Solve for x
    x = 2,273,765,614,288.63/1,020,832.88
  6. Step 6: Final answer
    x = 2,227,363.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.