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Finding the Third Proportional to 897,901 and 1,938,235

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Solution

The third proportional to 897,901 and 1,938,235 is: 4,183,929.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,901 : 1,938,235 = 1,938,235 : x
  2. Step 2: Convert to fraction form
    897,901/1,938,235 = 1,938,235/x
  3. Step 3: Cross multiply
    897,901x = 1,938,235 × 1,938,235
  4. Step 4: Simplify right side
    897,901x = 3,756,754,915,225
  5. Step 5: Solve for x
    x = 3,756,754,915,225/897,901
  6. Step 6: Final answer
    x = 4,183,929.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.