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Finding the Third Proportional to 897,363 and 1,920,846

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Solution

The third proportional to 897,363 and 1,920,846 is: 4,111,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,363 : 1,920,846 = 1,920,846 : x
  2. Step 2: Convert to fraction form
    897,363/1,920,846 = 1,920,846/x
  3. Step 3: Cross multiply
    897,363x = 1,920,846 × 1,920,846
  4. Step 4: Simplify right side
    897,363x = 3,689,649,355,716
  5. Step 5: Solve for x
    x = 3,689,649,355,716/897,363
  6. Step 6: Final answer
    x = 4,111,657.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.