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Finding the Third Proportional to 970,020 and 2,116,248

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Solution

The third proportional to 970,020 and 2,116,248 is: 4,616,920.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,020 : 2,116,248 = 2,116,248 : x
  2. Step 2: Convert to fraction form
    970,020/2,116,248 = 2,116,248/x
  3. Step 3: Cross multiply
    970,020x = 2,116,248 × 2,116,248
  4. Step 4: Simplify right side
    970,020x = 4,478,505,597,504
  5. Step 5: Solve for x
    x = 4,478,505,597,504/970,020
  6. Step 6: Final answer
    x = 4,616,920.89

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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.