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Finding the Third Proportional to 970,216 and 2,116,640

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Solution

The third proportional to 970,216 and 2,116,640 is: 4,617,698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,216 : 2,116,640 = 2,116,640 : x
  2. Step 2: Convert to fraction form
    970,216/2,116,640 = 2,116,640/x
  3. Step 3: Cross multiply
    970,216x = 2,116,640 × 2,116,640
  4. Step 4: Simplify right side
    970,216x = 4,480,164,889,600
  5. Step 5: Solve for x
    x = 4,480,164,889,600/970,216
  6. Step 6: Final answer
    x = 4,617,698.42

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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.