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Finding the Third Proportional to 1,032,574 and 1,518,471

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Solution

The third proportional to 1,032,574 and 1,518,471 is: 2,233,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,574 : 1,518,471 = 1,518,471 : x
  2. Step 2: Convert to fraction form
    1,032,574/1,518,471 = 1,518,471/x
  3. Step 3: Cross multiply
    1,032,574x = 1,518,471 × 1,518,471
  4. Step 4: Simplify right side
    1,032,574x = 2,305,754,177,841
  5. Step 5: Solve for x
    x = 2,305,754,177,841/1,032,574
  6. Step 6: Final answer
    x = 2,233,015.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.