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Finding the Third Proportional to 893,643 and 1,944,535

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Solution

The third proportional to 893,643 and 1,944,535 is: 4,231,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,643 : 1,944,535 = 1,944,535 : x
  2. Step 2: Convert to fraction form
    893,643/1,944,535 = 1,944,535/x
  3. Step 3: Cross multiply
    893,643x = 1,944,535 × 1,944,535
  4. Step 4: Simplify right side
    893,643x = 3,781,216,366,225
  5. Step 5: Solve for x
    x = 3,781,216,366,225/893,643
  6. Step 6: Final answer
    x = 4,231,238.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.