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Finding the Third Proportional to 989,076 and 2,118,120

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Solution

The third proportional to 989,076 and 2,118,120 is: 4,535,983.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,076 : 2,118,120 = 2,118,120 : x
  2. Step 2: Convert to fraction form
    989,076/2,118,120 = 2,118,120/x
  3. Step 3: Cross multiply
    989,076x = 2,118,120 × 2,118,120
  4. Step 4: Simplify right side
    989,076x = 4,486,432,334,400
  5. Step 5: Solve for x
    x = 4,486,432,334,400/989,076
  6. Step 6: Final answer
    x = 4,535,983.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.