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Finding the Third Proportional to 970,014 and 2,116,236

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Solution

The third proportional to 970,014 and 2,116,236 is: 4,616,897.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,014 : 2,116,236 = 2,116,236 : x
  2. Step 2: Convert to fraction form
    970,014/2,116,236 = 2,116,236/x
  3. Step 3: Cross multiply
    970,014x = 2,116,236 × 2,116,236
  4. Step 4: Simplify right side
    970,014x = 4,478,454,807,696
  5. Step 5: Solve for x
    x = 4,478,454,807,696/970,014
  6. Step 6: Final answer
    x = 4,616,897.08

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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.