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Finding the Third Proportional to 1,432,498 and 2,148,747

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Solution

The third proportional to 1,432,498 and 2,148,747 is: 3,223,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432,498 : 2,148,747 = 2,148,747 : x
  2. Step 2: Convert to fraction form
    1,432,498/2,148,747 = 2,148,747/x
  3. Step 3: Cross multiply
    1,432,498x = 2,148,747 × 2,148,747
  4. Step 4: Simplify right side
    1,432,498x = 4,617,113,670,009
  5. Step 5: Solve for x
    x = 4,617,113,670,009/1,432,498
  6. Step 6: Final answer
    x = 3,223,120.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.