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Finding the Third Proportional to 1,017,465.47 and 1,619,601.75

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Solution

The third proportional to 1,017,465.47 and 1,619,601.75 is: 2,578,082.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,465.47 : 1,619,601.75 = 1,619,601.75 : x
  2. Step 2: Convert to fraction form
    1,017,465.47/1,619,601.75 = 1,619,601.75/x
  3. Step 3: Cross multiply
    1,017,465.47x = 1,619,601.75 × 1,619,601.75
  4. Step 4: Simplify right side
    1,017,465.47x = 2,623,109,828,603.06
  5. Step 5: Solve for x
    x = 2,623,109,828,603.06/1,017,465.47
  6. Step 6: Final answer
    x = 2,578,082.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.