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Finding the Third Proportional to 897,850 and 1,970,313

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Solution

The third proportional to 897,850 and 1,970,313 is: 4,323,810.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,850 : 1,970,313 = 1,970,313 : x
  2. Step 2: Convert to fraction form
    897,850/1,970,313 = 1,970,313/x
  3. Step 3: Cross multiply
    897,850x = 1,970,313 × 1,970,313
  4. Step 4: Simplify right side
    897,850x = 3,882,133,317,969
  5. Step 5: Solve for x
    x = 3,882,133,317,969/897,850
  6. Step 6: Final answer
    x = 4,323,810.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.