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Finding the Third Proportional to 897,604 and 1,921,290

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Solution

The third proportional to 897,604 and 1,921,290 is: 4,112,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,604 : 1,921,290 = 1,921,290 : x
  2. Step 2: Convert to fraction form
    897,604/1,921,290 = 1,921,290/x
  3. Step 3: Cross multiply
    897,604x = 1,921,290 × 1,921,290
  4. Step 4: Simplify right side
    897,604x = 3,691,355,264,100
  5. Step 5: Solve for x
    x = 3,691,355,264,100/897,604
  6. Step 6: Final answer
    x = 4,112,454.12

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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.