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Finding the Third Proportional to 970,930 and 2,112,284

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Solution

The third proportional to 970,930 and 2,112,284 is: 4,595,329.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,930 : 2,112,284 = 2,112,284 : x
  2. Step 2: Convert to fraction form
    970,930/2,112,284 = 2,112,284/x
  3. Step 3: Cross multiply
    970,930x = 2,112,284 × 2,112,284
  4. Step 4: Simplify right side
    970,930x = 4,461,743,696,656
  5. Step 5: Solve for x
    x = 4,461,743,696,656/970,930
  6. Step 6: Final answer
    x = 4,595,329.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.