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Finding the Third Proportional to 893,428 and 1,947,428

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Solution

The third proportional to 893,428 and 1,947,428 is: 4,244,858.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,428 : 1,947,428 = 1,947,428 : x
  2. Step 2: Convert to fraction form
    893,428/1,947,428 = 1,947,428/x
  3. Step 3: Cross multiply
    893,428x = 1,947,428 × 1,947,428
  4. Step 4: Simplify right side
    893,428x = 3,792,475,815,184
  5. Step 5: Solve for x
    x = 3,792,475,815,184/893,428
  6. Step 6: Final answer
    x = 4,244,858.92

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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.